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Finding the Fourth Proportional to 385,827.60, 577,963.80 and 219,421.20

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Solution

The fourth proportional to 385,827.60, 577,963.80 and 219,421.20 is: 328,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,827.60 : 577,963.80 = 219,421.20 : x
  2. Step 2: Convert to fraction form
    385,827.60/577,963.80 = 219,421.20/x
  3. Step 3: Cross multiply
    385,827.60x = 577,963.80 × 219,421.20
  4. Step 4: Simplify right side
    385,827.60x = 126,817,510,552.56
  5. Step 5: Solve for x
    x = 126,817,510,552.56/385,827.60
  6. Step 6: Final answer
    x = 328,689.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.