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Finding the Fourth Proportional to 287,429.46, 431,210.92 and 97,891.47

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Solution

The fourth proportional to 287,429.46, 431,210.92 and 97,891.47 is: 146,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,429.46 : 431,210.92 = 97,891.47 : x
  2. Step 2: Convert to fraction form
    287,429.46/431,210.92 = 97,891.47/x
  3. Step 3: Cross multiply
    287,429.46x = 431,210.92 × 97,891.47
  4. Step 4: Simplify right side
    287,429.46x = 42,211,869,316.30
  5. Step 5: Solve for x
    x = 42,211,869,316.30/287,429.46
  6. Step 6: Final answer
    x = 146,859.93

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1.5x scale

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.