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Finding the Fourth Proportional to 426,987.35, 639,963.14 and 313,616.34

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Solution

The fourth proportional to 426,987.35, 639,963.14 and 313,616.34 is: 470,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,987.35 : 639,963.14 = 313,616.34 : x
  2. Step 2: Convert to fraction form
    426,987.35/639,963.14 = 313,616.34/x
  3. Step 3: Cross multiply
    426,987.35x = 639,963.14 × 313,616.34
  4. Step 4: Simplify right side
    426,987.35x = 200,702,896,133.63
  5. Step 5: Solve for x
    x = 200,702,896,133.63/426,987.35
  6. Step 6: Final answer
    x = 470,044.13

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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.