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Finding the Fourth Proportional to 288,586.32, 432,646.38 and 120,233.46

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Solution

The fourth proportional to 288,586.32, 432,646.38 and 120,233.46 is: 180,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,586.32 : 432,646.38 = 120,233.46 : x
  2. Step 2: Convert to fraction form
    288,586.32/432,646.38 = 120,233.46/x
  3. Step 3: Cross multiply
    288,586.32x = 432,646.38 × 120,233.46
  4. Step 4: Simplify right side
    288,586.32x = 52,018,571,223.87
  5. Step 5: Solve for x
    x = 52,018,571,223.87/288,586.32
  6. Step 6: Final answer
    x = 180,253.07

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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.