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Finding the Fourth Proportional to 513,055.50, 708,016.59 and 286,701

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Solution

The fourth proportional to 513,055.50, 708,016.59 and 286,701 is: 395,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,055.50 : 708,016.59 = 286,701 : x
  2. Step 2: Convert to fraction form
    513,055.50/708,016.59 = 286,701/x
  3. Step 3: Cross multiply
    513,055.50x = 708,016.59 × 286,701
  4. Step 4: Simplify right side
    513,055.50x = 202,989,064,369.59
  5. Step 5: Solve for x
    x = 202,989,064,369.59/513,055.50
  6. Step 6: Final answer
    x = 395,647.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.