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Finding the Fourth Proportional to 287,518.08, 431,254.08 and 77,155.20

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Solution

The fourth proportional to 287,518.08, 431,254.08 and 77,155.20 is: 115,726.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,518.08 : 431,254.08 = 77,155.20 : x
  2. Step 2: Convert to fraction form
    287,518.08/431,254.08 = 77,155.20/x
  3. Step 3: Cross multiply
    287,518.08x = 431,254.08 × 77,155.20
  4. Step 4: Simplify right side
    287,518.08x = 33,273,494,793.22
  5. Step 5: Solve for x
    x = 33,273,494,793.22/287,518.08
  6. Step 6: Final answer
    x = 115,726.62

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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.