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Finding the Fourth Proportional to 458,423.80, 687,635.70 and 340,325.80

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Solution

The fourth proportional to 458,423.80, 687,635.70 and 340,325.80 is: 510,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,423.80 : 687,635.70 = 340,325.80 : x
  2. Step 2: Convert to fraction form
    458,423.80/687,635.70 = 340,325.80/x
  3. Step 3: Cross multiply
    458,423.80x = 687,635.70 × 340,325.80
  4. Step 4: Simplify right side
    458,423.80x = 234,020,169,711.06
  5. Step 5: Solve for x
    x = 234,020,169,711.06/458,423.80
  6. Step 6: Final answer
    x = 510,488.70

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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.