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Finding the Fourth Proportional to 527,564.98, 728,038.68 and 285,854.10

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Solution

The fourth proportional to 527,564.98, 728,038.68 and 285,854.10 is: 394,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,564.98 : 728,038.68 = 285,854.10 : x
  2. Step 2: Convert to fraction form
    527,564.98/728,038.68 = 285,854.10/x
  3. Step 3: Cross multiply
    527,564.98x = 728,038.68 × 285,854.10
  4. Step 4: Simplify right side
    527,564.98x = 208,112,841,636.59
  5. Step 5: Solve for x
    x = 208,112,841,636.59/527,564.98
  6. Step 6: Final answer
    x = 394,478.12

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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.