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Finding the Fourth Proportional to 648,382.60, 971,990.70 and 411,603.40

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Solution

The fourth proportional to 648,382.60, 971,990.70 and 411,603.40 is: 617,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,382.60 : 971,990.70 = 411,603.40 : x
  2. Step 2: Convert to fraction form
    648,382.60/971,990.70 = 411,603.40/x
  3. Step 3: Cross multiply
    648,382.60x = 971,990.70 × 411,603.40
  4. Step 4: Simplify right side
    648,382.60x = 400,074,676,888.38
  5. Step 5: Solve for x
    x = 400,074,676,888.38/648,382.60
  6. Step 6: Final answer
    x = 617,034.88

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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.