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Finding the Fourth Proportional to 278,543.64, 384,394.68 and 151,219.13

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Solution

The fourth proportional to 278,543.64, 384,394.68 and 151,219.13 is: 208,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,543.64 : 384,394.68 = 151,219.13 : x
  2. Step 2: Convert to fraction form
    278,543.64/384,394.68 = 151,219.13/x
  3. Step 3: Cross multiply
    278,543.64x = 384,394.68 × 151,219.13
  4. Step 4: Simplify right side
    278,543.64x = 58,127,827,164.26
  5. Step 5: Solve for x
    x = 58,127,827,164.26/278,543.64
  6. Step 6: Final answer
    x = 208,684.81

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1.5x scale

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.