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Finding the Fourth Proportional to 287,719.20, 431,578.08 and 77,357.12

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Solution

The fourth proportional to 287,719.20, 431,578.08 and 77,357.12 is: 116,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,719.20 : 431,578.08 = 77,357.12 : x
  2. Step 2: Convert to fraction form
    287,719.20/431,578.08 = 77,357.12/x
  3. Step 3: Cross multiply
    287,719.20x = 431,578.08 × 77,357.12
  4. Step 4: Simplify right side
    287,719.20x = 33,385,637,323.93
  5. Step 5: Solve for x
    x = 33,385,637,323.93/287,719.20
  6. Step 6: Final answer
    x = 116,035.49

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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.