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Finding the Fourth Proportional to 390,643.32, 585,964.98 and 141,267

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Solution

The fourth proportional to 390,643.32, 585,964.98 and 141,267 is: 211,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,643.32 : 585,964.98 = 141,267 : x
  2. Step 2: Convert to fraction form
    390,643.32/585,964.98 = 141,267/x
  3. Step 3: Cross multiply
    390,643.32x = 585,964.98 × 141,267
  4. Step 4: Simplify right side
    390,643.32x = 82,777,514,829.66
  5. Step 5: Solve for x
    x = 82,777,514,829.66/390,643.32
  6. Step 6: Final answer
    x = 211,900.50

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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.