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Finding the Fourth Proportional to 389,967.80, 583,967.55 and 256,123.40

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Solution

The fourth proportional to 389,967.80, 583,967.55 and 256,123.40 is: 383,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,967.80 : 583,967.55 = 256,123.40 : x
  2. Step 2: Convert to fraction form
    389,967.80/583,967.55 = 256,123.40/x
  3. Step 3: Cross multiply
    389,967.80x = 583,967.55 × 256,123.40
  4. Step 4: Simplify right side
    389,967.80x = 149,567,754,395.67
  5. Step 5: Solve for x
    x = 149,567,754,395.67/389,967.80
  6. Step 6: Final answer
    x = 383,538.73

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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.