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Finding the Fourth Proportional to 312,032.20, 468,123.90 and 90,416.20

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Solution

The fourth proportional to 312,032.20, 468,123.90 and 90,416.20 is: 135,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,032.20 : 468,123.90 = 90,416.20 : x
  2. Step 2: Convert to fraction form
    312,032.20/468,123.90 = 90,416.20/x
  3. Step 3: Cross multiply
    312,032.20x = 468,123.90 × 90,416.20
  4. Step 4: Simplify right side
    312,032.20x = 42,325,984,167.18
  5. Step 5: Solve for x
    x = 42,325,984,167.18/312,032.20
  6. Step 6: Final answer
    x = 135,646.21

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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.