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Finding the Fourth Proportional to 287,441.40, 431,162.10 and 147,473.40

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Solution

The fourth proportional to 287,441.40, 431,162.10 and 147,473.40 is: 221,210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,441.40 : 431,162.10 = 147,473.40 : x
  2. Step 2: Convert to fraction form
    287,441.40/431,162.10 = 147,473.40/x
  3. Step 3: Cross multiply
    287,441.40x = 431,162.10 × 147,473.40
  4. Step 4: Simplify right side
    287,441.40x = 63,584,940,838.14
  5. Step 5: Solve for x
    x = 63,584,940,838.14/287,441.40
  6. Step 6: Final answer
    x = 221,210.10

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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.