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Finding the Fourth Proportional to 282,734.93, 390,174.50 and 155,407.79

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Solution

The fourth proportional to 282,734.93, 390,174.50 and 155,407.79 is: 214,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,734.93 : 390,174.50 = 155,407.79 : x
  2. Step 2: Convert to fraction form
    282,734.93/390,174.50 = 155,407.79/x
  3. Step 3: Cross multiply
    282,734.93x = 390,174.50 × 155,407.79
  4. Step 4: Simplify right side
    282,734.93x = 60,636,156,759.36
  5. Step 5: Solve for x
    x = 60,636,156,759.36/282,734.93
  6. Step 6: Final answer
    x = 214,462.91

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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.