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Finding the Fourth Proportional to 315,266.31, 434,953.85 and 242,691.41

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Solution

The fourth proportional to 315,266.31, 434,953.85 and 242,691.41 is: 334,826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,266.31 : 434,953.85 = 242,691.41 : x
  2. Step 2: Convert to fraction form
    315,266.31/434,953.85 = 242,691.41/x
  3. Step 3: Cross multiply
    315,266.31x = 434,953.85 × 242,691.41
  4. Step 4: Simplify right side
    315,266.31x = 105,559,559,753.20
  5. Step 5: Solve for x
    x = 105,559,559,753.20/315,266.31
  6. Step 6: Final answer
    x = 334,826.64

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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.