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Finding the Fourth Proportional to 260,470.68, 390,721.14 and 100,547.52

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Solution

The fourth proportional to 260,470.68, 390,721.14 and 100,547.52 is: 150,827.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,470.68 : 390,721.14 = 100,547.52 : x
  2. Step 2: Convert to fraction form
    260,470.68/390,721.14 = 100,547.52/x
  3. Step 3: Cross multiply
    260,470.68x = 390,721.14 × 100,547.52
  4. Step 4: Simplify right side
    260,470.68x = 39,286,041,638.57
  5. Step 5: Solve for x
    x = 39,286,041,638.57/260,470.68
  6. Step 6: Final answer
    x = 150,827.12

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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.