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Finding the Fourth Proportional to 285,985.96, 428,982 and 86,308.14

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Solution

The fourth proportional to 285,985.96, 428,982 and 86,308.14 is: 129,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,985.96 : 428,982 = 86,308.14 : x
  2. Step 2: Convert to fraction form
    285,985.96/428,982 = 86,308.14/x
  3. Step 3: Cross multiply
    285,985.96x = 428,982 × 86,308.14
  4. Step 4: Simplify right side
    285,985.96x = 37,024,636,368.57
  5. Step 5: Solve for x
    x = 37,024,636,368.57/285,985.96
  6. Step 6: Final answer
    x = 129,463.13

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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.