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Finding the Fourth Proportional to 288,572.95, 398,114.22 and 191,823.58

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Solution

The fourth proportional to 288,572.95, 398,114.22 and 191,823.58 is: 264,639.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,572.95 : 398,114.22 = 191,823.58 : x
  2. Step 2: Convert to fraction form
    288,572.95/398,114.22 = 191,823.58/x
  3. Step 3: Cross multiply
    288,572.95x = 398,114.22 × 191,823.58
  4. Step 4: Simplify right side
    288,572.95x = 76,367,694,929.31
  5. Step 5: Solve for x
    x = 76,367,694,929.31/288,572.95
  6. Step 6: Final answer
    x = 264,639.13

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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.