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Finding the Fourth Proportional to 1,298,900,728.82, 1,948,351,055.57 and 599,185,841.60

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Solution

The fourth proportional to 1,298,900,728.82, 1,948,351,055.57 and 599,185,841.60 is: 898,778,745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,900,728.82 : 1,948,351,055.57 = 599,185,841.60 : x
  2. Step 2: Convert to fraction form
    1,298,900,728.82/1,948,351,055.57 = 599,185,841.60/x
  3. Step 3: Cross multiply
    1,298,900,728.82x = 1,948,351,055.57 × 599,185,841.60
  4. Step 4: Simplify right side
    1,298,900,728.82x = 1,167,424,366,960,963,072
  5. Step 5: Solve for x
    x = 1,167,424,366,960,963,072/1,298,900,728.82
  6. Step 6: Final answer
    x = 898,778,745.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.