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Finding the Fourth Proportional to 561,782.90, 842,783.70 and 162,436.70

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Solution

The fourth proportional to 561,782.90, 842,783.70 and 162,436.70 is: 243,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,782.90 : 842,783.70 = 162,436.70 : x
  2. Step 2: Convert to fraction form
    561,782.90/842,783.70 = 162,436.70/x
  3. Step 3: Cross multiply
    561,782.90x = 842,783.70 × 162,436.70
  4. Step 4: Simplify right side
    561,782.90x = 136,899,003,041.79
  5. Step 5: Solve for x
    x = 136,899,003,041.79/561,782.90
  6. Step 6: Final answer
    x = 243,686.67

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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.