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Finding the Fourth Proportional to 586,401.12, 809,309.84 and 328,376.34

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Solution

The fourth proportional to 586,401.12, 809,309.84 and 328,376.34 is: 453,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,401.12 : 809,309.84 = 328,376.34 : x
  2. Step 2: Convert to fraction form
    586,401.12/809,309.84 = 328,376.34/x
  3. Step 3: Cross multiply
    586,401.12x = 809,309.84 × 328,376.34
  4. Step 4: Simplify right side
    586,401.12x = 265,758,201,543.30
  5. Step 5: Solve for x
    x = 265,758,201,543.30/586,401.12
  6. Step 6: Final answer
    x = 453,202.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.