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Finding the Fourth Proportional to 360,642.76, 497,643.63 and 207,730.68

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Solution

The fourth proportional to 360,642.76, 497,643.63 and 207,730.68 is: 286,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,642.76 : 497,643.63 = 207,730.68 : x
  2. Step 2: Convert to fraction form
    360,642.76/497,643.63 = 207,730.68/x
  3. Step 3: Cross multiply
    360,642.76x = 497,643.63 × 207,730.68
  4. Step 4: Simplify right side
    360,642.76x = 103,375,849,657.57
  5. Step 5: Solve for x
    x = 103,375,849,657.57/360,642.76
  6. Step 6: Final answer
    x = 286,643.35

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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.