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Finding the Fourth Proportional to 485,614.60, 729,977.10 and 346,337.80

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Solution

The fourth proportional to 485,614.60, 729,977.10 and 346,337.80 is: 520,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,614.60 : 729,977.10 = 346,337.80 : x
  2. Step 2: Convert to fraction form
    485,614.60/729,977.10 = 346,337.80/x
  3. Step 3: Cross multiply
    485,614.60x = 729,977.10 × 346,337.80
  4. Step 4: Simplify right side
    485,614.60x = 252,818,662,864.38
  5. Step 5: Solve for x
    x = 252,818,662,864.38/485,614.60
  6. Step 6: Final answer
    x = 520,615.86

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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.