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Finding the Fourth Proportional to 290,559.48, 435,839.24 and 103,439.76

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Solution

The fourth proportional to 290,559.48, 435,839.24 and 103,439.76 is: 155,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,559.48 : 435,839.24 = 103,439.76 : x
  2. Step 2: Convert to fraction form
    290,559.48/435,839.24 = 103,439.76/x
  3. Step 3: Cross multiply
    290,559.48x = 435,839.24 × 103,439.76
  4. Step 4: Simplify right side
    290,559.48x = 45,083,106,384.18
  5. Step 5: Solve for x
    x = 45,083,106,384.18/290,559.48
  6. Step 6: Final answer
    x = 155,159.65

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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.