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Finding the Fourth Proportional to 561,586.84, 842,256.34 and 162,140.72

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Solution

The fourth proportional to 561,586.84, 842,256.34 and 162,140.72 is: 243,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,586.84 : 842,256.34 = 162,140.72 : x
  2. Step 2: Convert to fraction form
    561,586.84/842,256.34 = 162,140.72/x
  3. Step 3: Cross multiply
    561,586.84x = 842,256.34 × 162,140.72
  4. Step 4: Simplify right side
    561,586.84x = 136,564,049,392.17
  5. Step 5: Solve for x
    x = 136,564,049,392.17/561,586.84
  6. Step 6: Final answer
    x = 243,175.30

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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.