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Finding the Fourth Proportional to 290,637.76, 435,981.66 and 80,275.72

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Solution

The fourth proportional to 290,637.76, 435,981.66 and 80,275.72 is: 120,420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,637.76 : 435,981.66 = 80,275.72 : x
  2. Step 2: Convert to fraction form
    290,637.76/435,981.66 = 80,275.72/x
  3. Step 3: Cross multiply
    290,637.76x = 435,981.66 × 80,275.72
  4. Step 4: Simplify right side
    290,637.76x = 34,998,741,663.30
  5. Step 5: Solve for x
    x = 34,998,741,663.30/290,637.76
  6. Step 6: Final answer
    x = 120,420.49

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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.