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Finding the Fourth Proportional to 659,230.50, 988,259.31 and 238,412.82

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Solution

The fourth proportional to 659,230.50, 988,259.31 and 238,412.82 is: 357,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,230.50 : 988,259.31 = 238,412.82 : x
  2. Step 2: Convert to fraction form
    659,230.50/988,259.31 = 238,412.82/x
  3. Step 3: Cross multiply
    659,230.50x = 988,259.31 × 238,412.82
  4. Step 4: Simplify right side
    659,230.50x = 235,613,688,988.35
  5. Step 5: Solve for x
    x = 235,613,688,988.35/659,230.50
  6. Step 6: Final answer
    x = 357,407.14

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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.