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Finding the Fourth Proportional to 586,139.94, 879,017.13 and 206,991.90

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Solution

The fourth proportional to 586,139.94, 879,017.13 and 206,991.90 is: 310,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,139.94 : 879,017.13 = 206,991.90 : x
  2. Step 2: Convert to fraction form
    586,139.94/879,017.13 = 206,991.90/x
  3. Step 3: Cross multiply
    586,139.94x = 879,017.13 × 206,991.90
  4. Step 4: Simplify right side
    586,139.94x = 181,949,425,871.25
  5. Step 5: Solve for x
    x = 181,949,425,871.25/586,139.94
  6. Step 6: Final answer
    x = 310,419.77

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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.