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Finding the Fourth Proportional to 402,319.71, 603,592.56 and 118,017

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Solution

The fourth proportional to 402,319.71, 603,592.56 and 118,017 is: 177,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,319.71 : 603,592.56 = 118,017 : x
  2. Step 2: Convert to fraction form
    402,319.71/603,592.56 = 118,017/x
  3. Step 3: Cross multiply
    402,319.71x = 603,592.56 × 118,017
  4. Step 4: Simplify right side
    402,319.71x = 71,234,183,153.52
  5. Step 5: Solve for x
    x = 71,234,183,153.52/402,319.71
  6. Step 6: Final answer
    x = 177,058.65

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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.