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Finding the Fourth Proportional to 402,738, 604,165.32 and 122,255.52

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Solution

The fourth proportional to 402,738, 604,165.32 and 122,255.52 is: 183,400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,738 : 604,165.32 = 122,255.52 : x
  2. Step 2: Convert to fraction form
    402,738/604,165.32 = 122,255.52/x
  3. Step 3: Cross multiply
    402,738x = 604,165.32 × 122,255.52
  4. Step 4: Simplify right side
    402,738x = 73,862,545,362.57
  5. Step 5: Solve for x
    x = 73,862,545,362.57/402,738
  6. Step 6: Final answer
    x = 183,400.98

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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.