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Finding the Fourth Proportional to 413,322.40, 619,983.60 and 409,385.80

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Solution

The fourth proportional to 413,322.40, 619,983.60 and 409,385.80 is: 614,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,322.40 : 619,983.60 = 409,385.80 : x
  2. Step 2: Convert to fraction form
    413,322.40/619,983.60 = 409,385.80/x
  3. Step 3: Cross multiply
    413,322.40x = 619,983.60 × 409,385.80
  4. Step 4: Simplify right side
    413,322.40x = 253,812,482,072.88
  5. Step 5: Solve for x
    x = 253,812,482,072.88/413,322.40
  6. Step 6: Final answer
    x = 614,078.70

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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.