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Finding the Fourth Proportional to 497,246.40, 745,286.40 and 260,467.20

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Solution

The fourth proportional to 497,246.40, 745,286.40 and 260,467.20 is: 390,395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,246.40 : 745,286.40 = 260,467.20 : x
  2. Step 2: Convert to fraction form
    497,246.40/745,286.40 = 260,467.20/x
  3. Step 3: Cross multiply
    497,246.40x = 745,286.40 × 260,467.20
  4. Step 4: Simplify right side
    497,246.40x = 194,122,661,806.08
  5. Step 5: Solve for x
    x = 194,122,661,806.08/497,246.40
  6. Step 6: Final answer
    x = 390,395.31

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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.