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Finding the Fourth Proportional to 413,613.54, 620,951.60 and 318,903.89

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Solution

The fourth proportional to 413,613.54, 620,951.60 and 318,903.89 is: 478,765.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,613.54 : 620,951.60 = 318,903.89 : x
  2. Step 2: Convert to fraction form
    413,613.54/620,951.60 = 318,903.89/x
  3. Step 3: Cross multiply
    413,613.54x = 620,951.60 × 318,903.89
  4. Step 4: Simplify right side
    413,613.54x = 198,023,878,434.23
  5. Step 5: Solve for x
    x = 198,023,878,434.23/413,613.54
  6. Step 6: Final answer
    x = 478,765.46

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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.