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Finding the Fourth Proportional to 287,987.52, 431,979.44 and 98,356.40

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Solution

The fourth proportional to 287,987.52, 431,979.44 and 98,356.40 is: 147,533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,987.52 : 431,979.44 = 98,356.40 : x
  2. Step 2: Convert to fraction form
    287,987.52/431,979.44 = 98,356.40/x
  3. Step 3: Cross multiply
    287,987.52x = 431,979.44 × 98,356.40
  4. Step 4: Simplify right side
    287,987.52x = 42,487,942,592.42
  5. Step 5: Solve for x
    x = 42,487,942,592.42/287,987.52
  6. Step 6: Final answer
    x = 147,533.97

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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.