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Finding the Fourth Proportional to 532,133.20, 734,350.62 and 314,349.04

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Solution

The fourth proportional to 532,133.20, 734,350.62 and 314,349.04 is: 433,805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,133.20 : 734,350.62 = 314,349.04 : x
  2. Step 2: Convert to fraction form
    532,133.20/734,350.62 = 314,349.04/x
  3. Step 3: Cross multiply
    532,133.20x = 734,350.62 × 314,349.04
  4. Step 4: Simplify right side
    532,133.20x = 230,842,412,420.41
  5. Step 5: Solve for x
    x = 230,842,412,420.41/532,133.20
  6. Step 6: Final answer
    x = 433,805.69

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1.5x scale

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.