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Finding the Fourth Proportional to 260,374.08, 390,056.72 and 147,713.52

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Solution

The fourth proportional to 260,374.08, 390,056.72 and 147,713.52 is: 221,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,374.08 : 390,056.72 = 147,713.52 : x
  2. Step 2: Convert to fraction form
    260,374.08/390,056.72 = 147,713.52/x
  3. Step 3: Cross multiply
    260,374.08x = 390,056.72 × 147,713.52
  4. Step 4: Simplify right side
    260,374.08x = 57,616,651,110.85
  5. Step 5: Solve for x
    x = 57,616,651,110.85/260,374.08
  6. Step 6: Final answer
    x = 221,284.13

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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.