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Finding the Fourth Proportional to 318,646.75, 477,970.13 and 97,030.75

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Solution

The fourth proportional to 318,646.75, 477,970.13 and 97,030.75 is: 145,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,646.75 : 477,970.13 = 97,030.75 : x
  2. Step 2: Convert to fraction form
    318,646.75/477,970.13 = 97,030.75/x
  3. Step 3: Cross multiply
    318,646.75x = 477,970.13 × 97,030.75
  4. Step 4: Simplify right side
    318,646.75x = 46,377,800,191.50
  5. Step 5: Solve for x
    x = 46,377,800,191.50/318,646.75
  6. Step 6: Final answer
    x = 145,546.13

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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.