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Finding the Fourth Proportional to 278,312.73, 384,071.72 and 150,988.32

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Solution

The fourth proportional to 278,312.73, 384,071.72 and 150,988.32 is: 208,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,312.73 : 384,071.72 = 150,988.32 : x
  2. Step 2: Convert to fraction form
    278,312.73/384,071.72 = 150,988.32/x
  3. Step 3: Cross multiply
    278,312.73x = 384,071.72 × 150,988.32
  4. Step 4: Simplify right side
    278,312.73x = 57,990,343,007.37
  5. Step 5: Solve for x
    x = 57,990,343,007.37/278,312.73
  6. Step 6: Final answer
    x = 208,363.96

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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.