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Finding the Fourth Proportional to 285,407.93, 393,848.89 and 156,346.96

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Solution

The fourth proportional to 285,407.93, 393,848.89 and 156,346.96 is: 215,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,407.93 : 393,848.89 = 156,346.96 : x
  2. Step 2: Convert to fraction form
    285,407.93/393,848.89 = 156,346.96/x
  3. Step 3: Cross multiply
    285,407.93x = 393,848.89 × 156,346.96
  4. Step 4: Simplify right side
    285,407.93x = 61,577,077,932.37
  5. Step 5: Solve for x
    x = 61,577,077,932.37/285,407.93
  6. Step 6: Final answer
    x = 215,751.11

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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.