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Finding the Fourth Proportional to 409,875.84, 614,839.68 and 129,404.16

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Solution

The fourth proportional to 409,875.84, 614,839.68 and 129,404.16 is: 194,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,875.84 : 614,839.68 = 129,404.16 : x
  2. Step 2: Convert to fraction form
    409,875.84/614,839.68 = 129,404.16/x
  3. Step 3: Cross multiply
    409,875.84x = 614,839.68 × 129,404.16
  4. Step 4: Simplify right side
    409,875.84x = 79,562,812,325.07
  5. Step 5: Solve for x
    x = 79,562,812,325.07/409,875.84
  6. Step 6: Final answer
    x = 194,114.42

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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.