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Finding the Fourth Proportional to 288,892.74, 433,387.50 and 99,345.42

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Solution

The fourth proportional to 288,892.74, 433,387.50 and 99,345.42 is: 149,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,892.74 : 433,387.50 = 99,345.42 : x
  2. Step 2: Convert to fraction form
    288,892.74/433,387.50 = 99,345.42/x
  3. Step 3: Cross multiply
    288,892.74x = 433,387.50 × 99,345.42
  4. Step 4: Simplify right side
    288,892.74x = 43,055,063,210.25
  5. Step 5: Solve for x
    x = 43,055,063,210.25/288,892.74
  6. Step 6: Final answer
    x = 149,034.77

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1.5x scale

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.