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Finding the Fourth Proportional to 459,737.40, 689,606.10 and 318,019.80

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Solution

The fourth proportional to 459,737.40, 689,606.10 and 318,019.80 is: 477,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,737.40 : 689,606.10 = 318,019.80 : x
  2. Step 2: Convert to fraction form
    459,737.40/689,606.10 = 318,019.80/x
  3. Step 3: Cross multiply
    459,737.40x = 689,606.10 × 318,019.80
  4. Step 4: Simplify right side
    459,737.40x = 219,308,394,000.78
  5. Step 5: Solve for x
    x = 219,308,394,000.78/459,737.40
  6. Step 6: Final answer
    x = 477,029.70

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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.