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Finding the Fourth Proportional to 402,992, 604,484.40 and 150,263.92

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Solution

The fourth proportional to 402,992, 604,484.40 and 150,263.92 is: 225,394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,992 : 604,484.40 = 150,263.92 : x
  2. Step 2: Convert to fraction form
    402,992/604,484.40 = 150,263.92/x
  3. Step 3: Cross multiply
    402,992x = 604,484.40 × 150,263.92
  4. Step 4: Simplify right side
    402,992x = 90,832,195,522.85
  5. Step 5: Solve for x
    x = 90,832,195,522.85/402,992
  6. Step 6: Final answer
    x = 225,394.54

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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.