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Finding the Fourth Proportional to 561,386.40, 842,079.60 and 162,040.20

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Solution

The fourth proportional to 561,386.40, 842,079.60 and 162,040.20 is: 243,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,386.40 : 842,079.60 = 162,040.20 : x
  2. Step 2: Convert to fraction form
    561,386.40/842,079.60 = 162,040.20/x
  3. Step 3: Cross multiply
    561,386.40x = 842,079.60 × 162,040.20
  4. Step 4: Simplify right side
    561,386.40x = 136,450,746,799.92
  5. Step 5: Solve for x
    x = 136,450,746,799.92/561,386.40
  6. Step 6: Final answer
    x = 243,060.30

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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.