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Finding the Fourth Proportional to 458,885.70, 688,328.55 and 209,567.70

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Solution

The fourth proportional to 458,885.70, 688,328.55 and 209,567.70 is: 314,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,885.70 : 688,328.55 = 209,567.70 : x
  2. Step 2: Convert to fraction form
    458,885.70/688,328.55 = 209,567.70/x
  3. Step 3: Cross multiply
    458,885.70x = 688,328.55 × 209,567.70
  4. Step 4: Simplify right side
    458,885.70x = 144,251,431,067.84
  5. Step 5: Solve for x
    x = 144,251,431,067.84/458,885.70
  6. Step 6: Final answer
    x = 314,351.55

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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.