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Finding the Fourth Proportional to 278,438.65, 384,243.08 and 151,114.28

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Solution

The fourth proportional to 278,438.65, 384,243.08 and 151,114.28 is: 208,536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,438.65 : 384,243.08 = 151,114.28 : x
  2. Step 2: Convert to fraction form
    278,438.65/384,243.08 = 151,114.28/x
  3. Step 3: Cross multiply
    278,438.65x = 384,243.08 × 151,114.28
  4. Step 4: Simplify right side
    278,438.65x = 58,064,613,702.40
  5. Step 5: Solve for x
    x = 58,064,613,702.40/278,438.65
  6. Step 6: Final answer
    x = 208,536.47

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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.