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Finding the Fourth Proportional to 278,412.70, 384,209.51 and 151,088.29

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Solution

The fourth proportional to 278,412.70, 384,209.51 and 151,088.29 is: 208,501.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,412.70 : 384,209.51 = 151,088.29 : x
  2. Step 2: Convert to fraction form
    278,412.70/384,209.51 = 151,088.29/x
  3. Step 3: Cross multiply
    278,412.70x = 384,209.51 × 151,088.29
  4. Step 4: Simplify right side
    278,412.70x = 58,049,558,245.36
  5. Step 5: Solve for x
    x = 58,049,558,245.36/278,412.70
  6. Step 6: Final answer
    x = 208,501.83

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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.