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Finding the Fourth Proportional to 265,943.30, 398,861.31 and 97,406.08

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Solution

The fourth proportional to 265,943.30, 398,861.31 and 97,406.08 is: 146,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,943.30 : 398,861.31 = 97,406.08 : x
  2. Step 2: Convert to fraction form
    265,943.30/398,861.31 = 97,406.08/x
  3. Step 3: Cross multiply
    265,943.30x = 398,861.31 × 97,406.08
  4. Step 4: Simplify right side
    265,943.30x = 38,851,516,670.76
  5. Step 5: Solve for x
    x = 38,851,516,670.76/265,943.30
  6. Step 6: Final answer
    x = 146,089.47

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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.