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Finding the Fourth Proportional to 292,217.40, 438,023.70 and 158,815.80

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Solution

The fourth proportional to 292,217.40, 438,023.70 and 158,815.80 is: 238,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,217.40 : 438,023.70 = 158,815.80 : x
  2. Step 2: Convert to fraction form
    292,217.40/438,023.70 = 158,815.80/x
  3. Step 3: Cross multiply
    292,217.40x = 438,023.70 × 158,815.80
  4. Step 4: Simplify right side
    292,217.40x = 69,565,084,334.46
  5. Step 5: Solve for x
    x = 69,565,084,334.46/292,217.40
  6. Step 6: Final answer
    x = 238,059.35

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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.