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Finding the Fourth Proportional to 260,046.60, 390,069.90 and 102,280.20

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Solution

The fourth proportional to 260,046.60, 390,069.90 and 102,280.20 is: 153,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,046.60 : 390,069.90 = 102,280.20 : x
  2. Step 2: Convert to fraction form
    260,046.60/390,069.90 = 102,280.20/x
  3. Step 3: Cross multiply
    260,046.60x = 390,069.90 × 102,280.20
  4. Step 4: Simplify right side
    260,046.60x = 39,896,427,385.98
  5. Step 5: Solve for x
    x = 39,896,427,385.98/260,046.60
  6. Step 6: Final answer
    x = 153,420.30

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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.