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Finding the Fourth Proportional to 771,057.30, 1,156,364 and 265,597.86

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Solution

The fourth proportional to 771,057.30, 1,156,364 and 265,597.86 is: 398,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,057.30 : 1,156,364 = 265,597.86 : x
  2. Step 2: Convert to fraction form
    771,057.30/1,156,364 = 265,597.86/x
  3. Step 3: Cross multiply
    771,057.30x = 1,156,364 × 265,597.86
  4. Step 4: Simplify right side
    771,057.30x = 307,127,803,781.04
  5. Step 5: Solve for x
    x = 307,127,803,781.04/771,057.30
  6. Step 6: Final answer
    x = 398,320.34

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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.