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Finding the Fourth Proportional to 385,527.90, 578,489.52 and 186,018.42

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Solution

The fourth proportional to 385,527.90, 578,489.52 and 186,018.42 is: 279,123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,527.90 : 578,489.52 = 186,018.42 : x
  2. Step 2: Convert to fraction form
    385,527.90/578,489.52 = 186,018.42/x
  3. Step 3: Cross multiply
    385,527.90x = 578,489.52 × 186,018.42
  4. Step 4: Simplify right side
    385,527.90x = 107,609,706,496.96
  5. Step 5: Solve for x
    x = 107,609,706,496.96/385,527.90
  6. Step 6: Final answer
    x = 279,123.01

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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.