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Finding the Fourth Proportional to 282,915.26, 390,415.26 and 155,590.86

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Solution

The fourth proportional to 282,915.26, 390,415.26 and 155,590.86 is: 214,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,915.26 : 390,415.26 = 155,590.86 : x
  2. Step 2: Convert to fraction form
    282,915.26/390,415.26 = 155,590.86/x
  3. Step 3: Cross multiply
    282,915.26x = 390,415.26 × 155,590.86
  4. Step 4: Simplify right side
    282,915.26x = 60,745,046,060.52
  5. Step 5: Solve for x
    x = 60,745,046,060.52/282,915.26
  6. Step 6: Final answer
    x = 214,711.10

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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.