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Finding the Fourth Proportional to 586,268.36, 879,436.56 and 165,509

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Solution

The fourth proportional to 586,268.36, 879,436.56 and 165,509 is: 248,273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,268.36 : 879,436.56 = 165,509 : x
  2. Step 2: Convert to fraction form
    586,268.36/879,436.56 = 165,509/x
  3. Step 3: Cross multiply
    586,268.36x = 879,436.56 × 165,509
  4. Step 4: Simplify right side
    586,268.36x = 145,554,665,609.04
  5. Step 5: Solve for x
    x = 145,554,665,609.04/586,268.36
  6. Step 6: Final answer
    x = 248,273.10

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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.