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Finding the Fourth Proportional to 278,567, 384,426.98 and 157,705.16

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Solution

The fourth proportional to 278,567, 384,426.98 and 157,705.16 is: 217,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,567 : 384,426.98 = 157,705.16 : x
  2. Step 2: Convert to fraction form
    278,567/384,426.98 = 157,705.16/x
  3. Step 3: Cross multiply
    278,567x = 384,426.98 × 157,705.16
  4. Step 4: Simplify right side
    278,567x = 60,626,118,389.22
  5. Step 5: Solve for x
    x = 60,626,118,389.22/278,567
  6. Step 6: Final answer
    x = 217,635.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.