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Finding the Fourth Proportional to 477,965.20, 716,980.20 and 162,445.90

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Solution

The fourth proportional to 477,965.20, 716,980.20 and 162,445.90 is: 243,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,965.20 : 716,980.20 = 162,445.90 : x
  2. Step 2: Convert to fraction form
    477,965.20/716,980.20 = 162,445.90/x
  3. Step 3: Cross multiply
    477,965.20x = 716,980.20 × 162,445.90
  4. Step 4: Simplify right side
    477,965.20x = 116,470,493,871.18
  5. Step 5: Solve for x
    x = 116,470,493,871.18/477,965.20
  6. Step 6: Final answer
    x = 243,679.86

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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.