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Finding the Fourth Proportional to 385,729.96, 532,301.40 and 215,970.16

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Solution

The fourth proportional to 385,729.96, 532,301.40 and 215,970.16 is: 298,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,729.96 : 532,301.40 = 215,970.16 : x
  2. Step 2: Convert to fraction form
    385,729.96/532,301.40 = 215,970.16/x
  3. Step 3: Cross multiply
    385,729.96x = 532,301.40 × 215,970.16
  4. Step 4: Simplify right side
    385,729.96x = 114,961,218,526.22
  5. Step 5: Solve for x
    x = 114,961,218,526.22/385,729.96
  6. Step 6: Final answer
    x = 298,035.49

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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.