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Finding the Fourth Proportional to 360,642.60, 497,643.42 and 207,730.52

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Solution

The fourth proportional to 360,642.60, 497,643.42 and 207,730.52 is: 286,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,642.60 : 497,643.42 = 207,730.52 : x
  2. Step 2: Convert to fraction form
    360,642.60/497,643.42 = 207,730.52/x
  3. Step 3: Cross multiply
    360,642.60x = 497,643.42 × 207,730.52
  4. Step 4: Simplify right side
    360,642.60x = 103,375,729,367.36
  5. Step 5: Solve for x
    x = 103,375,729,367.36/360,642.60
  6. Step 6: Final answer
    x = 286,643.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.