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Finding the Fourth Proportional to 278,865.60, 418,298.40 and 91,852.80

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Solution

The fourth proportional to 278,865.60, 418,298.40 and 91,852.80 is: 137,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,865.60 : 418,298.40 = 91,852.80 : x
  2. Step 2: Convert to fraction form
    278,865.60/418,298.40 = 91,852.80/x
  3. Step 3: Cross multiply
    278,865.60x = 418,298.40 × 91,852.80
  4. Step 4: Simplify right side
    278,865.60x = 38,421,879,275.52
  5. Step 5: Solve for x
    x = 38,421,879,275.52/278,865.60
  6. Step 6: Final answer
    x = 137,779.20

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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.