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Finding the Fourth Proportional to 532,134.20, 734,352 and 314,350.04

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Solution

The fourth proportional to 532,134.20, 734,352 and 314,350.04 is: 433,807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,134.20 : 734,352 = 314,350.04 : x
  2. Step 2: Convert to fraction form
    532,134.20/734,352 = 314,350.04/x
  3. Step 3: Cross multiply
    532,134.20x = 734,352 × 314,350.04
  4. Step 4: Simplify right side
    532,134.20x = 230,843,580,574.08
  5. Step 5: Solve for x
    x = 230,843,580,574.08/532,134.20
  6. Step 6: Final answer
    x = 433,807.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.