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Finding the Fourth Proportional to 260,470.40, 390,628.80 and 102,646.40

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Solution

The fourth proportional to 260,470.40, 390,628.80 and 102,646.40 is: 153,939.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,470.40 : 390,628.80 = 102,646.40 : x
  2. Step 2: Convert to fraction form
    260,470.40/390,628.80 = 102,646.40/x
  3. Step 3: Cross multiply
    260,470.40x = 390,628.80 × 102,646.40
  4. Step 4: Simplify right side
    260,470.40x = 40,096,640,056.32
  5. Step 5: Solve for x
    x = 40,096,640,056.32/260,470.40
  6. Step 6: Final answer
    x = 153,939.33

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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.