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Finding the Fourth Proportional to 648,704.60, 974,223.30 and 471,411.80

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Solution

The fourth proportional to 648,704.60, 974,223.30 and 471,411.80 is: 707,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,704.60 : 974,223.30 = 471,411.80 : x
  2. Step 2: Convert to fraction form
    648,704.60/974,223.30 = 471,411.80/x
  3. Step 3: Cross multiply
    648,704.60x = 974,223.30 × 471,411.80
  4. Step 4: Simplify right side
    648,704.60x = 459,260,359,454.94
  5. Step 5: Solve for x
    x = 459,260,359,454.94/648,704.60
  6. Step 6: Final answer
    x = 707,965.32

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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.