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Finding the Fourth Proportional to 282,874.35, 390,356.49 and 155,548.83

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Solution

The fourth proportional to 282,874.35, 390,356.49 and 155,548.83 is: 214,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,874.35 : 390,356.49 = 155,548.83 : x
  2. Step 2: Convert to fraction form
    282,874.35/390,356.49 = 155,548.83/x
  3. Step 3: Cross multiply
    282,874.35x = 390,356.49 × 155,548.83
  4. Step 4: Simplify right side
    282,874.35x = 60,719,495,302.41
  5. Step 5: Solve for x
    x = 60,719,495,302.41/282,874.35
  6. Step 6: Final answer
    x = 214,651.82

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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.