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Finding the Fourth Proportional to 668,713.80, 1,003,070.70 and 402,337.20

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Solution

The fourth proportional to 668,713.80, 1,003,070.70 and 402,337.20 is: 603,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,713.80 : 1,003,070.70 = 402,337.20 : x
  2. Step 2: Convert to fraction form
    668,713.80/1,003,070.70 = 402,337.20/x
  3. Step 3: Cross multiply
    668,713.80x = 1,003,070.70 × 402,337.20
  4. Step 4: Simplify right side
    668,713.80x = 403,572,656,840.04
  5. Step 5: Solve for x
    x = 403,572,656,840.04/668,713.80
  6. Step 6: Final answer
    x = 603,505.80

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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.