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Finding the Fourth Proportional to 385,123.64, 577,822.28 and 171,872.10

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Solution

The fourth proportional to 385,123.64, 577,822.28 and 171,872.10 is: 257,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,123.64 : 577,822.28 = 171,872.10 : x
  2. Step 2: Convert to fraction form
    385,123.64/577,822.28 = 171,872.10/x
  3. Step 3: Cross multiply
    385,123.64x = 577,822.28 × 171,872.10
  4. Step 4: Simplify right side
    385,123.64x = 99,311,527,831.03
  5. Step 5: Solve for x
    x = 99,311,527,831.03/385,123.64
  6. Step 6: Final answer
    x = 257,869.21

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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.