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Finding the Fourth Proportional to 287,563.60, 431,345.40 and 163,147.60

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Solution

The fourth proportional to 287,563.60, 431,345.40 and 163,147.60 is: 244,721.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,563.60 : 431,345.40 = 163,147.60 : x
  2. Step 2: Convert to fraction form
    287,563.60/431,345.40 = 163,147.60/x
  3. Step 3: Cross multiply
    287,563.60x = 431,345.40 × 163,147.60
  4. Step 4: Simplify right side
    287,563.60x = 70,372,966,781.04
  5. Step 5: Solve for x
    x = 70,372,966,781.04/287,563.60
  6. Step 6: Final answer
    x = 244,721.40

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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.