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Finding the Fourth Proportional to 659,846.31, 910,376.28 and 369,415.20

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Solution

The fourth proportional to 659,846.31, 910,376.28 and 369,415.20 is: 509,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,846.31 : 910,376.28 = 369,415.20 : x
  2. Step 2: Convert to fraction form
    659,846.31/910,376.28 = 369,415.20/x
  3. Step 3: Cross multiply
    659,846.31x = 910,376.28 × 369,415.20
  4. Step 4: Simplify right side
    659,846.31x = 336,306,835,551.46
  5. Step 5: Solve for x
    x = 336,306,835,551.46/659,846.31
  6. Step 6: Final answer
    x = 509,674.50

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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.