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Finding the Fourth Proportional to 586,913.76, 810,133.92 and 345,186

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Solution

The fourth proportional to 586,913.76, 810,133.92 and 345,186 is: 476,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,913.76 : 810,133.92 = 345,186 : x
  2. Step 2: Convert to fraction form
    586,913.76/810,133.92 = 345,186/x
  3. Step 3: Cross multiply
    586,913.76x = 810,133.92 × 345,186
  4. Step 4: Simplify right side
    586,913.76x = 279,646,887,309.12
  5. Step 5: Solve for x
    x = 279,646,887,309.12/586,913.76
  6. Step 6: Final answer
    x = 476,470.15

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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.