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Finding the Fourth Proportional to 409,618.80, 614,428.20 and 372,877.20

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Solution

The fourth proportional to 409,618.80, 614,428.20 and 372,877.20 is: 559,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,618.80 : 614,428.20 = 372,877.20 : x
  2. Step 2: Convert to fraction form
    409,618.80/614,428.20 = 372,877.20/x
  3. Step 3: Cross multiply
    409,618.80x = 614,428.20 × 372,877.20
  4. Step 4: Simplify right side
    409,618.80x = 229,106,266,817.04
  5. Step 5: Solve for x
    x = 229,106,266,817.04/409,618.80
  6. Step 6: Final answer
    x = 559,315.80

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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.