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Finding the Fourth Proportional to 385,784.88, 532,405.08 and 216,017.52

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Solution

The fourth proportional to 385,784.88, 532,405.08 and 216,017.52 is: 298,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,784.88 : 532,405.08 = 216,017.52 : x
  2. Step 2: Convert to fraction form
    385,784.88/532,405.08 = 216,017.52/x
  3. Step 3: Cross multiply
    385,784.88x = 532,405.08 × 216,017.52
  4. Step 4: Simplify right side
    385,784.88x = 115,008,825,017.00
  5. Step 5: Solve for x
    x = 115,008,825,017.00/385,784.88
  6. Step 6: Final answer
    x = 298,116.47

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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.