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Finding the Fourth Proportional to 282,806.16, 390,273.96 and 155,489.95

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Solution

The fourth proportional to 282,806.16, 390,273.96 and 155,489.95 is: 214,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,806.16 : 390,273.96 = 155,489.95 : x
  2. Step 2: Convert to fraction form
    282,806.16/390,273.96 = 155,489.95/x
  3. Step 3: Cross multiply
    282,806.16x = 390,273.96 × 155,489.95
  4. Step 4: Simplify right side
    282,806.16x = 60,683,678,526.70
  5. Step 5: Solve for x
    x = 60,683,678,526.70/282,806.16
  6. Step 6: Final answer
    x = 214,576.93

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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.