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Finding the Fourth Proportional to 280,497.82, 420,870.03 and 147,347.14

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Solution

The fourth proportional to 280,497.82, 420,870.03 and 147,347.14 is: 221,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,497.82 : 420,870.03 = 147,347.14 : x
  2. Step 2: Convert to fraction form
    280,497.82/420,870.03 = 147,347.14/x
  3. Step 3: Cross multiply
    280,497.82x = 420,870.03 × 147,347.14
  4. Step 4: Simplify right side
    280,497.82x = 62,013,995,232.21
  5. Step 5: Solve for x
    x = 62,013,995,232.21/280,497.82
  6. Step 6: Final answer
    x = 221,085.48

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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.