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Finding the Fourth Proportional to 287,922.66, 431,909.90 and 77,555.94

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Solution

The fourth proportional to 287,922.66, 431,909.90 and 77,555.94 is: 116,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,922.66 : 431,909.90 = 77,555.94 : x
  2. Step 2: Convert to fraction form
    287,922.66/431,909.90 = 77,555.94/x
  3. Step 3: Cross multiply
    287,922.66x = 431,909.90 × 77,555.94
  4. Step 4: Simplify right side
    287,922.66x = 33,497,178,289.81
  5. Step 5: Solve for x
    x = 33,497,178,289.81/287,922.66
  6. Step 6: Final answer
    x = 116,340.89

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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.