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Finding the Fourth Proportional to 385,609.32, 578,653.47 and 185,950.26

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Solution

The fourth proportional to 385,609.32, 578,653.47 and 185,950.26 is: 279,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,609.32 : 578,653.47 = 185,950.26 : x
  2. Step 2: Convert to fraction form
    385,609.32/578,653.47 = 185,950.26/x
  3. Step 3: Cross multiply
    385,609.32x = 578,653.47 × 185,950.26
  4. Step 4: Simplify right side
    385,609.32x = 107,600,763,196.40
  5. Step 5: Solve for x
    x = 107,600,763,196.40/385,609.32
  6. Step 6: Final answer
    x = 279,040.88

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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.