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Finding the Fourth Proportional to 318,567.76, 477,920.80 and 96,946

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Solution

The fourth proportional to 318,567.76, 477,920.80 and 96,946 is: 145,440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,567.76 : 477,920.80 = 96,946 : x
  2. Step 2: Convert to fraction form
    318,567.76/477,920.80 = 96,946/x
  3. Step 3: Cross multiply
    318,567.76x = 477,920.80 × 96,946
  4. Step 4: Simplify right side
    318,567.76x = 46,332,509,876.80
  5. Step 5: Solve for x
    x = 46,332,509,876.80/318,567.76
  6. Step 6: Final answer
    x = 145,440.05

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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.