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Finding the Fourth Proportional to 465,488.70, 698,233.05 and 306,056.40

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Solution

The fourth proportional to 465,488.70, 698,233.05 and 306,056.40 is: 459,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,488.70 : 698,233.05 = 306,056.40 : x
  2. Step 2: Convert to fraction form
    465,488.70/698,233.05 = 306,056.40/x
  3. Step 3: Cross multiply
    465,488.70x = 698,233.05 × 306,056.40
  4. Step 4: Simplify right side
    465,488.70x = 213,698,693,644.02
  5. Step 5: Solve for x
    x = 213,698,693,644.02/465,488.70
  6. Step 6: Final answer
    x = 459,084.60

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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.