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Finding the Fourth Proportional to 288,718.07, 433,203.71 and 137,024.71

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Solution

The fourth proportional to 288,718.07, 433,203.71 and 137,024.71 is: 205,597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,718.07 : 433,203.71 = 137,024.71 : x
  2. Step 2: Convert to fraction form
    288,718.07/433,203.71 = 137,024.71/x
  3. Step 3: Cross multiply
    288,718.07x = 433,203.71 × 137,024.71
  4. Step 4: Simplify right side
    288,718.07x = 59,359,612,733.67
  5. Step 5: Solve for x
    x = 59,359,612,733.67/288,718.07
  6. Step 6: Final answer
    x = 205,597.15

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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.