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Finding the Fourth Proportional to 402,278.65, 603,417.44 and 102,759.45

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Solution

The fourth proportional to 402,278.65, 603,417.44 and 102,759.45 is: 154,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,278.65 : 603,417.44 = 102,759.45 : x
  2. Step 2: Convert to fraction form
    402,278.65/603,417.44 = 102,759.45/x
  3. Step 3: Cross multiply
    402,278.65x = 603,417.44 × 102,759.45
  4. Step 4: Simplify right side
    402,278.65x = 62,006,843,741.01
  5. Step 5: Solve for x
    x = 62,006,843,741.01/402,278.65
  6. Step 6: Final answer
    x = 154,139.04

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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.