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Finding the Fourth Proportional to 665,312.90, 997,969.23 and 159,873.87

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Solution

The fourth proportional to 665,312.90, 997,969.23 and 159,873.87 is: 239,810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,312.90 : 997,969.23 = 159,873.87 : x
  2. Step 2: Convert to fraction form
    665,312.90/997,969.23 = 159,873.87/x
  3. Step 3: Cross multiply
    665,312.90x = 997,969.23 × 159,873.87
  4. Step 4: Simplify right side
    665,312.90x = 159,549,202,941.02
  5. Step 5: Solve for x
    x = 159,549,202,941.02/665,312.90
  6. Step 6: Final answer
    x = 239,810.78

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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.