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Finding the Fourth Proportional to 527,815.17, 728,386.47 and 286,098.69

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Solution

The fourth proportional to 527,815.17, 728,386.47 and 286,098.69 is: 394,817.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,815.17 : 728,386.47 = 286,098.69 : x
  2. Step 2: Convert to fraction form
    527,815.17/728,386.47 = 286,098.69/x
  3. Step 3: Cross multiply
    527,815.17x = 728,386.47 × 286,098.69
  4. Step 4: Simplify right side
    527,815.17x = 208,390,414,880.72
  5. Step 5: Solve for x
    x = 208,390,414,880.72/527,815.17
  6. Step 6: Final answer
    x = 394,817.02

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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.