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Finding the Fourth Proportional to 292,400.70, 438,601.05 and 152,141.10

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Solution

The fourth proportional to 292,400.70, 438,601.05 and 152,141.10 is: 228,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,400.70 : 438,601.05 = 152,141.10 : x
  2. Step 2: Convert to fraction form
    292,400.70/438,601.05 = 152,141.10/x
  3. Step 3: Cross multiply
    292,400.70x = 438,601.05 × 152,141.10
  4. Step 4: Simplify right side
    292,400.70x = 66,729,246,208.16
  5. Step 5: Solve for x
    x = 66,729,246,208.16/292,400.70
  6. Step 6: Final answer
    x = 228,211.65

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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.