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Finding the Fourth Proportional to 256,953.88, 385,209.33 and 99,292.96

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Solution

The fourth proportional to 256,953.88, 385,209.33 and 99,292.96 is: 148,853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,953.88 : 385,209.33 = 99,292.96 : x
  2. Step 2: Convert to fraction form
    256,953.88/385,209.33 = 99,292.96/x
  3. Step 3: Cross multiply
    256,953.88x = 385,209.33 × 99,292.96
  4. Step 4: Simplify right side
    256,953.88x = 38,248,574,595.32
  5. Step 5: Solve for x
    x = 38,248,574,595.32/256,953.88
  6. Step 6: Final answer
    x = 148,853.85

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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.