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Finding the Fourth Proportional to 390,642.32, 585,963.48 and 141,266

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Solution

The fourth proportional to 390,642.32, 585,963.48 and 141,266 is: 211,899.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,642.32 : 585,963.48 = 141,266 : x
  2. Step 2: Convert to fraction form
    390,642.32/585,963.48 = 141,266/x
  3. Step 3: Cross multiply
    390,642.32x = 585,963.48 × 141,266
  4. Step 4: Simplify right side
    390,642.32x = 82,776,716,965.68
  5. Step 5: Solve for x
    x = 82,776,716,965.68/390,642.32
  6. Step 6: Final answer
    x = 211,899.00

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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.