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Finding the Fourth Proportional to 390,644.32, 585,966.48 and 141,268

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Solution

The fourth proportional to 390,644.32, 585,966.48 and 141,268 is: 211,902

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,644.32 : 585,966.48 = 141,268 : x
  2. Step 2: Convert to fraction form
    390,644.32/585,966.48 = 141,268/x
  3. Step 3: Cross multiply
    390,644.32x = 585,966.48 × 141,268
  4. Step 4: Simplify right side
    390,644.32x = 82,778,312,696.64
  5. Step 5: Solve for x
    x = 82,778,312,696.64/390,644.32
  6. Step 6: Final answer
    x = 211,902

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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.