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Finding the Fourth Proportional to 318,689.91, 477,931.19 and 105,417.72

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Solution

The fourth proportional to 318,689.91, 477,931.19 and 105,417.72 is: 158,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,689.91 : 477,931.19 = 105,417.72 : x
  2. Step 2: Convert to fraction form
    318,689.91/477,931.19 = 105,417.72/x
  3. Step 3: Cross multiply
    318,689.91x = 477,931.19 × 105,417.72
  4. Step 4: Simplify right side
    318,689.91x = 50,382,415,839.60
  5. Step 5: Solve for x
    x = 50,382,415,839.60/318,689.91
  6. Step 6: Final answer
    x = 158,092.28

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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.