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Finding the Fourth Proportional to 288,494.40, 432,741.84 and 75,262.08

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Solution

The fourth proportional to 288,494.40, 432,741.84 and 75,262.08 is: 112,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,494.40 : 432,741.84 = 75,262.08 : x
  2. Step 2: Convert to fraction form
    288,494.40/432,741.84 = 75,262.08/x
  3. Step 3: Cross multiply
    288,494.40x = 432,741.84 × 75,262.08
  4. Step 4: Simplify right side
    288,494.40x = 32,569,050,981.43
  5. Step 5: Solve for x
    x = 32,569,050,981.43/288,494.40
  6. Step 6: Final answer
    x = 112,893.18

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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.