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Finding the Fourth Proportional to 288,632.43, 432,715.32 and 120,279.60

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Solution

The fourth proportional to 288,632.43, 432,715.32 and 120,279.60 is: 180,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,632.43 : 432,715.32 = 120,279.60 : x
  2. Step 2: Convert to fraction form
    288,632.43/432,715.32 = 120,279.60/x
  3. Step 3: Cross multiply
    288,632.43x = 432,715.32 × 120,279.60
  4. Step 4: Simplify right side
    288,632.43x = 52,046,825,603.47
  5. Step 5: Solve for x
    x = 52,046,825,603.47/288,632.43
  6. Step 6: Final answer
    x = 180,322.17

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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.