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Finding the Fourth Proportional to 287,871.20, 431,223.60 and 163,066.40

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Solution

The fourth proportional to 287,871.20, 431,223.60 and 163,066.40 is: 244,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,871.20 : 431,223.60 = 163,066.40 : x
  2. Step 2: Convert to fraction form
    287,871.20/431,223.60 = 163,066.40/x
  3. Step 3: Cross multiply
    287,871.20x = 431,223.60 × 163,066.40
  4. Step 4: Simplify right side
    287,871.20x = 70,318,080,047.04
  5. Step 5: Solve for x
    x = 70,318,080,047.04/287,871.20
  6. Step 6: Final answer
    x = 244,269.24

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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.