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Finding the Fourth Proportional to 287,859.20, 431,205.60 and 163,054.40

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Solution

The fourth proportional to 287,859.20, 431,205.60 and 163,054.40 is: 244,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,859.20 : 431,205.60 = 163,054.40 : x
  2. Step 2: Convert to fraction form
    287,859.20/431,205.60 = 163,054.40/x
  3. Step 3: Cross multiply
    287,859.20x = 431,205.60 × 163,054.40
  4. Step 4: Simplify right side
    287,859.20x = 70,309,970,384.64
  5. Step 5: Solve for x
    x = 70,309,970,384.64/287,859.20
  6. Step 6: Final answer
    x = 244,251.25

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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.