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Finding the Fourth Proportional to 402,868.56, 604,336.80 and 122,388.24

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Solution

The fourth proportional to 402,868.56, 604,336.80 and 122,388.24 is: 183,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,868.56 : 604,336.80 = 122,388.24 : x
  2. Step 2: Convert to fraction form
    402,868.56/604,336.80 = 122,388.24/x
  3. Step 3: Cross multiply
    402,868.56x = 604,336.80 × 122,388.24
  4. Step 4: Simplify right side
    402,868.56x = 73,963,717,319.23
  5. Step 5: Solve for x
    x = 73,963,717,319.23/402,868.56
  6. Step 6: Final answer
    x = 183,592.68

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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.