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Finding the Fourth Proportional to 288,544.88, 432,904.80 and 138,742.68

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Solution

The fourth proportional to 288,544.88, 432,904.80 and 138,742.68 is: 208,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,544.88 : 432,904.80 = 138,742.68 : x
  2. Step 2: Convert to fraction form
    288,544.88/432,904.80 = 138,742.68/x
  3. Step 3: Cross multiply
    288,544.88x = 432,904.80 × 138,742.68
  4. Step 4: Simplify right side
    288,544.88x = 60,062,372,136.86
  5. Step 5: Solve for x
    x = 60,062,372,136.86/288,544.88
  6. Step 6: Final answer
    x = 208,156.08

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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.