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Finding the Fourth Proportional to 561,689.32, 842,409.82 and 162,243.40

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Solution

The fourth proportional to 561,689.32, 842,409.82 and 162,243.40 is: 243,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,689.32 : 842,409.82 = 162,243.40 : x
  2. Step 2: Convert to fraction form
    561,689.32/842,409.82 = 162,243.40/x
  3. Step 3: Cross multiply
    561,689.32x = 842,409.82 × 162,243.40
  4. Step 4: Simplify right side
    561,689.32x = 136,675,433,390.19
  5. Step 5: Solve for x
    x = 136,675,433,390.19/561,689.32
  6. Step 6: Final answer
    x = 243,329.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.