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Finding the Fourth Proportional to 288,404.61, 398,021.61 and 159,354.36

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Solution

The fourth proportional to 288,404.61, 398,021.61 and 159,354.36 is: 219,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,404.61 : 398,021.61 = 159,354.36 : x
  2. Step 2: Convert to fraction form
    288,404.61/398,021.61 = 159,354.36/x
  3. Step 3: Cross multiply
    288,404.61x = 398,021.61 × 159,354.36
  4. Step 4: Simplify right side
    288,404.61x = 63,426,478,927.72
  5. Step 5: Solve for x
    x = 63,426,478,927.72/288,404.61
  6. Step 6: Final answer
    x = 219,921.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.