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Finding the Fourth Proportional to 433,534.61, 649,460.59 and 319,475.45

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Solution

The fourth proportional to 433,534.61, 649,460.59 and 319,475.45 is: 478,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,534.61 : 649,460.59 = 319,475.45 : x
  2. Step 2: Convert to fraction form
    433,534.61/649,460.59 = 319,475.45/x
  3. Step 3: Cross multiply
    433,534.61x = 649,460.59 × 319,475.45
  4. Step 4: Simplify right side
    433,534.61x = 207,486,714,247.52
  5. Step 5: Solve for x
    x = 207,486,714,247.52/433,534.61
  6. Step 6: Final answer
    x = 478,593.20

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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.