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Finding the Fourth Proportional to 288,642.76, 432,898.53 and 138,805.93

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Solution

The fourth proportional to 288,642.76, 432,898.53 and 138,805.93 is: 208,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,642.76 : 432,898.53 = 138,805.93 : x
  2. Step 2: Convert to fraction form
    288,642.76/432,898.53 = 138,805.93/x
  3. Step 3: Cross multiply
    288,642.76x = 432,898.53 × 138,805.93
  4. Step 4: Simplify right side
    288,642.76x = 60,088,880,887.79
  5. Step 5: Solve for x
    x = 60,088,880,887.79/288,642.76
  6. Step 6: Final answer
    x = 208,177.34

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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.