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Finding the Fourth Proportional to 260,347.20, 390,520.80 and 155,284.80

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Solution

The fourth proportional to 260,347.20, 390,520.80 and 155,284.80 is: 232,927.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,347.20 : 390,520.80 = 155,284.80 : x
  2. Step 2: Convert to fraction form
    260,347.20/390,520.80 = 155,284.80/x
  3. Step 3: Cross multiply
    260,347.20x = 390,520.80 × 155,284.80
  4. Step 4: Simplify right side
    260,347.20x = 60,641,944,323.84
  5. Step 5: Solve for x
    x = 60,641,944,323.84/260,347.20
  6. Step 6: Final answer
    x = 232,927.20

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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.