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Finding the Fourth Proportional to 486,734.08, 728,324.88 and 287,150.08

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Solution

The fourth proportional to 486,734.08, 728,324.88 and 287,150.08 is: 429,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,734.08 : 728,324.88 = 287,150.08 : x
  2. Step 2: Convert to fraction form
    486,734.08/728,324.88 = 287,150.08/x
  3. Step 3: Cross multiply
    486,734.08x = 728,324.88 × 287,150.08
  4. Step 4: Simplify right side
    486,734.08x = 209,138,547,557.99
  5. Step 5: Solve for x
    x = 209,138,547,557.99/486,734.08
  6. Step 6: Final answer
    x = 429,677.22

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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.