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Finding the Fourth Proportional to 260,276.80, 390,458.40 and 102,510.40

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Solution

The fourth proportional to 260,276.80, 390,458.40 and 102,510.40 is: 153,782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,276.80 : 390,458.40 = 102,510.40 : x
  2. Step 2: Convert to fraction form
    260,276.80/390,458.40 = 102,510.40/x
  3. Step 3: Cross multiply
    260,276.80x = 390,458.40 × 102,510.40
  4. Step 4: Simplify right side
    260,276.80x = 40,026,046,767.36
  5. Step 5: Solve for x
    x = 40,026,046,767.36/260,276.80
  6. Step 6: Final answer
    x = 153,782.61

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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.