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Finding the Fourth Proportional to 486,160.40, 729,672.60 and 286,230.80

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Solution

The fourth proportional to 486,160.40, 729,672.60 and 286,230.80 is: 429,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,160.40 : 729,672.60 = 286,230.80 : x
  2. Step 2: Convert to fraction form
    486,160.40/729,672.60 = 286,230.80/x
  3. Step 3: Cross multiply
    486,160.40x = 729,672.60 × 286,230.80
  4. Step 4: Simplify right side
    486,160.40x = 208,854,772,036.08
  5. Step 5: Solve for x
    x = 208,854,772,036.08/486,160.40
  6. Step 6: Final answer
    x = 429,600.54

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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.