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Finding the Fourth Proportional to 409,283.35, 614,343.95 and 337,978.79

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Solution

The fourth proportional to 409,283.35, 614,343.95 and 337,978.79 is: 507,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,283.35 : 614,343.95 = 337,978.79 : x
  2. Step 2: Convert to fraction form
    409,283.35/614,343.95 = 337,978.79/x
  3. Step 3: Cross multiply
    409,283.35x = 614,343.95 × 337,978.79
  4. Step 4: Simplify right side
    409,283.35x = 207,635,227,245.63
  5. Step 5: Solve for x
    x = 207,635,227,245.63/409,283.35
  6. Step 6: Final answer
    x = 507,314.13

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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.