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Finding the Fourth Proportional to 280,102.60, 386,574.28 and 159,262

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Solution

The fourth proportional to 280,102.60, 386,574.28 and 159,262 is: 219,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,102.60 : 386,574.28 = 159,262 : x
  2. Step 2: Convert to fraction form
    280,102.60/386,574.28 = 159,262/x
  3. Step 3: Cross multiply
    280,102.60x = 386,574.28 × 159,262
  4. Step 4: Simplify right side
    280,102.60x = 61,566,592,981.36
  5. Step 5: Solve for x
    x = 61,566,592,981.36/280,102.60
  6. Step 6: Final answer
    x = 219,800.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.