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Finding the Fourth Proportional to 307,521.57, 461,279.61 and 97,159.50

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Solution

The fourth proportional to 307,521.57, 461,279.61 and 97,159.50 is: 145,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,521.57 : 461,279.61 = 97,159.50 : x
  2. Step 2: Convert to fraction form
    307,521.57/461,279.61 = 97,159.50/x
  3. Step 3: Cross multiply
    307,521.57x = 461,279.61 × 97,159.50
  4. Step 4: Simplify right side
    307,521.57x = 44,817,696,267.80
  5. Step 5: Solve for x
    x = 44,817,696,267.80/307,521.57
  6. Step 6: Final answer
    x = 145,738.38

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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.