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Finding the Fourth Proportional to 385,597.14, 532,123.97 and 215,831.30

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Solution

The fourth proportional to 385,597.14, 532,123.97 and 215,831.30 is: 297,847.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,597.14 : 532,123.97 = 215,831.30 : x
  2. Step 2: Convert to fraction form
    385,597.14/532,123.97 = 215,831.30/x
  3. Step 3: Cross multiply
    385,597.14x = 532,123.97 × 215,831.30
  4. Step 4: Simplify right side
    385,597.14x = 114,849,008,206.26
  5. Step 5: Solve for x
    x = 114,849,008,206.26/385,597.14
  6. Step 6: Final answer
    x = 297,847.15

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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.