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Finding the Fourth Proportional to 260,097.60, 389,854.80 and 110,312.40

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Solution

The fourth proportional to 260,097.60, 389,854.80 and 110,312.40 is: 165,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,097.60 : 389,854.80 = 110,312.40 : x
  2. Step 2: Convert to fraction form
    260,097.60/389,854.80 = 110,312.40/x
  3. Step 3: Cross multiply
    260,097.60x = 389,854.80 × 110,312.40
  4. Step 4: Simplify right side
    260,097.60x = 43,005,818,639.52
  5. Step 5: Solve for x
    x = 43,005,818,639.52/260,097.60
  6. Step 6: Final answer
    x = 165,344.93

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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.