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Finding the Fourth Proportional to 257,913.60, 386,870.40 and 80,419.20

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Solution

The fourth proportional to 257,913.60, 386,870.40 and 80,419.20 is: 120,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,913.60 : 386,870.40 = 80,419.20 : x
  2. Step 2: Convert to fraction form
    257,913.60/386,870.40 = 80,419.20/x
  3. Step 3: Cross multiply
    257,913.60x = 386,870.40 × 80,419.20
  4. Step 4: Simplify right side
    257,913.60x = 31,111,808,071.68
  5. Step 5: Solve for x
    x = 31,111,808,071.68/257,913.60
  6. Step 6: Final answer
    x = 120,628.80

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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.