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Finding the Fourth Proportional to 282,842.92, 390,323.12 and 155,526.76

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Solution

The fourth proportional to 282,842.92, 390,323.12 and 155,526.76 is: 214,626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,842.92 : 390,323.12 = 155,526.76 : x
  2. Step 2: Convert to fraction form
    282,842.92/390,323.12 = 155,526.76/x
  3. Step 3: Cross multiply
    282,842.92x = 390,323.12 × 155,526.76
  4. Step 4: Simplify right side
    282,842.92x = 60,705,690,206.69
  5. Step 5: Solve for x
    x = 60,705,690,206.69/282,842.92
  6. Step 6: Final answer
    x = 214,626.87

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1.5x scale

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.