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Finding the Fourth Proportional to 288,337.30, 432,598.49 and 138,588.45

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Solution

The fourth proportional to 288,337.30, 432,598.49 and 138,588.45 is: 207,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,337.30 : 432,598.49 = 138,588.45 : x
  2. Step 2: Convert to fraction form
    288,337.30/432,598.49 = 138,588.45/x
  3. Step 3: Cross multiply
    288,337.30x = 432,598.49 × 138,588.45
  4. Step 4: Simplify right side
    288,337.30x = 59,953,152,405.96
  5. Step 5: Solve for x
    x = 59,953,152,405.96/288,337.30
  6. Step 6: Final answer
    x = 207,927.15

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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.