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Finding the Fourth Proportional to 500,106.78, 750,184.38 and 163,146.78

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Solution

The fourth proportional to 500,106.78, 750,184.38 and 163,146.78 is: 244,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,106.78 : 750,184.38 = 163,146.78 : x
  2. Step 2: Convert to fraction form
    500,106.78/750,184.38 = 163,146.78/x
  3. Step 3: Cross multiply
    500,106.78x = 750,184.38 × 163,146.78
  4. Step 4: Simplify right side
    500,106.78x = 122,390,166,003.30
  5. Step 5: Solve for x
    x = 122,390,166,003.30/500,106.78
  6. Step 6: Final answer
    x = 244,728.07

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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.