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Finding the Fourth Proportional to 409,604.78, 614,528.12 and 210,064.95

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Solution

The fourth proportional to 409,604.78, 614,528.12 and 210,064.95 is: 315,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,604.78 : 614,528.12 = 210,064.95 : x
  2. Step 2: Convert to fraction form
    409,604.78/614,528.12 = 210,064.95/x
  3. Step 3: Cross multiply
    409,604.78x = 614,528.12 × 210,064.95
  4. Step 4: Simplify right side
    409,604.78x = 129,090,819,326.56
  5. Step 5: Solve for x
    x = 129,090,819,326.56/409,604.78
  6. Step 6: Final answer
    x = 315,159.45

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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.