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Finding the Fourth Proportional to 269,047.32, 403,430.84 and 100,429

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Solution

The fourth proportional to 269,047.32, 403,430.84 and 100,429 is: 150,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,047.32 : 403,430.84 = 100,429 : x
  2. Step 2: Convert to fraction form
    269,047.32/403,430.84 = 100,429/x
  3. Step 3: Cross multiply
    269,047.32x = 403,430.84 × 100,429
  4. Step 4: Simplify right side
    269,047.32x = 40,516,155,830.36
  5. Step 5: Solve for x
    x = 40,516,155,830.36/269,047.32
  6. Step 6: Final answer
    x = 150,591.19

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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.