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Finding the Fourth Proportional to 318,646.50, 477,969.75 and 97,030.50

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Solution

The fourth proportional to 318,646.50, 477,969.75 and 97,030.50 is: 145,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,646.50 : 477,969.75 = 97,030.50 : x
  2. Step 2: Convert to fraction form
    318,646.50/477,969.75 = 97,030.50/x
  3. Step 3: Cross multiply
    318,646.50x = 477,969.75 × 97,030.50
  4. Step 4: Simplify right side
    318,646.50x = 46,377,643,827.38
  5. Step 5: Solve for x
    x = 46,377,643,827.38/318,646.50
  6. Step 6: Final answer
    x = 145,545.75

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1.5x scale

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.