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Finding the Fourth Proportional to 586,438.40, 878,620.80 and 520,083.20

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Solution

The fourth proportional to 586,438.40, 878,620.80 and 520,083.20 is: 779,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,438.40 : 878,620.80 = 520,083.20 : x
  2. Step 2: Convert to fraction form
    586,438.40/878,620.80 = 520,083.20/x
  3. Step 3: Cross multiply
    586,438.40x = 878,620.80 × 520,083.20
  4. Step 4: Simplify right side
    586,438.40x = 456,955,917,250.56
  5. Step 5: Solve for x
    x = 456,955,917,250.56/586,438.40
  6. Step 6: Final answer
    x = 779,205.31

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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.