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Finding the Fourth Proportional to 318,643.39, 477,965.23 and 105,411.30

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Solution

The fourth proportional to 318,643.39, 477,965.23 and 105,411.30 is: 158,117.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,643.39 : 477,965.23 = 105,411.30 : x
  2. Step 2: Convert to fraction form
    318,643.39/477,965.23 = 105,411.30/x
  3. Step 3: Cross multiply
    318,643.39x = 477,965.23 × 105,411.30
  4. Step 4: Simplify right side
    318,643.39x = 50,382,935,833.95
  5. Step 5: Solve for x
    x = 50,382,935,833.95/318,643.39
  6. Step 6: Final answer
    x = 158,117.00

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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.