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Finding the Fourth Proportional to 465,681.80, 698,522.70 and 212,961.80

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Solution

The fourth proportional to 465,681.80, 698,522.70 and 212,961.80 is: 319,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,681.80 : 698,522.70 = 212,961.80 : x
  2. Step 2: Convert to fraction form
    465,681.80/698,522.70 = 212,961.80/x
  3. Step 3: Cross multiply
    465,681.80x = 698,522.70 × 212,961.80
  4. Step 4: Simplify right side
    465,681.80x = 148,758,651,532.86
  5. Step 5: Solve for x
    x = 148,758,651,532.86/465,681.80
  6. Step 6: Final answer
    x = 319,442.70

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.