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Finding the Fourth Proportional to 497,788.80, 745,862.40 and 287,059.20

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Solution

The fourth proportional to 497,788.80, 745,862.40 and 287,059.20 is: 430,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,788.80 : 745,862.40 = 287,059.20 : x
  2. Step 2: Convert to fraction form
    497,788.80/745,862.40 = 287,059.20/x
  3. Step 3: Cross multiply
    497,788.80x = 745,862.40 × 287,059.20
  4. Step 4: Simplify right side
    497,788.80x = 214,106,663,854.08
  5. Step 5: Solve for x
    x = 214,106,663,854.08/497,788.80
  6. Step 6: Final answer
    x = 430,115.47

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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.