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Finding the Fourth Proportional to 282,711.68, 390,147.12 and 155,386.88

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Solution

The fourth proportional to 282,711.68, 390,147.12 and 155,386.88 is: 214,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,711.68 : 390,147.12 = 155,386.88 : x
  2. Step 2: Convert to fraction form
    282,711.68/390,147.12 = 155,386.88/x
  3. Step 3: Cross multiply
    282,711.68x = 390,147.12 × 155,386.88
  4. Step 4: Simplify right side
    282,711.68x = 60,623,743,717.79
  5. Step 5: Solve for x
    x = 60,623,743,717.79/282,711.68
  6. Step 6: Final answer
    x = 214,436.64

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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.