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Finding the Fourth Proportional to 290,271.38, 435,411.68 and 110,359.55

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Solution

The fourth proportional to 290,271.38, 435,411.68 and 110,359.55 is: 165,541.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,271.38 : 435,411.68 = 110,359.55 : x
  2. Step 2: Convert to fraction form
    290,271.38/435,411.68 = 110,359.55/x
  3. Step 3: Cross multiply
    290,271.38x = 435,411.68 × 110,359.55
  4. Step 4: Simplify right side
    290,271.38x = 48,051,834,340.69
  5. Step 5: Solve for x
    x = 48,051,834,340.69/290,271.38
  6. Step 6: Final answer
    x = 165,541.07

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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.