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Finding the Fourth Proportional to 340,459.40, 510,737.70 and 115,830.20

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Solution

The fourth proportional to 340,459.40, 510,737.70 and 115,830.20 is: 173,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,459.40 : 510,737.70 = 115,830.20 : x
  2. Step 2: Convert to fraction form
    340,459.40/510,737.70 = 115,830.20/x
  3. Step 3: Cross multiply
    340,459.40x = 510,737.70 × 115,830.20
  4. Step 4: Simplify right side
    340,459.40x = 59,158,849,938.54
  5. Step 5: Solve for x
    x = 59,158,849,938.54/340,459.40
  6. Step 6: Final answer
    x = 173,761.83

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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.