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Finding the Fourth Proportional to 288,105.86, 432,155.32 and 74,854.90

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Solution

The fourth proportional to 288,105.86, 432,155.32 and 74,854.90 is: 112,281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,105.86 : 432,155.32 = 74,854.90 : x
  2. Step 2: Convert to fraction form
    288,105.86/432,155.32 = 74,854.90/x
  3. Step 3: Cross multiply
    288,105.86x = 432,155.32 × 74,854.90
  4. Step 4: Simplify right side
    288,105.86x = 32,348,943,616.12
  5. Step 5: Solve for x
    x = 32,348,943,616.12/288,105.86
  6. Step 6: Final answer
    x = 112,281.45

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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.