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Finding the Fourth Proportional to 281,309.86, 388,211.28 and 153,982.72

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Solution

The fourth proportional to 281,309.86, 388,211.28 and 153,982.72 is: 212,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,309.86 : 388,211.28 = 153,982.72 : x
  2. Step 2: Convert to fraction form
    281,309.86/388,211.28 = 153,982.72/x
  3. Step 3: Cross multiply
    281,309.86x = 388,211.28 × 153,982.72
  4. Step 4: Simplify right side
    281,309.86x = 59,777,828,829.08
  5. Step 5: Solve for x
    x = 59,777,828,829.08/281,309.86
  6. Step 6: Final answer
    x = 212,498.16

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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.