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Finding the Fourth Proportional to 282,889.28, 390,390 and 155,565.76

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Solution

The fourth proportional to 282,889.28, 390,390 and 155,565.76 is: 214,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,889.28 : 390,390 = 155,565.76 : x
  2. Step 2: Convert to fraction form
    282,889.28/390,390 = 155,565.76/x
  3. Step 3: Cross multiply
    282,889.28x = 390,390 × 155,565.76
  4. Step 4: Simplify right side
    282,889.28x = 60,731,317,046.40
  5. Step 5: Solve for x
    x = 60,731,317,046.40/282,889.28
  6. Step 6: Final answer
    x = 214,682.29

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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.