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Finding the Fourth Proportional to 640,498.32, 883,990.80 and 382,389.12

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Solution

The fourth proportional to 640,498.32, 883,990.80 and 382,389.12 is: 527,758.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,498.32 : 883,990.80 = 382,389.12 : x
  2. Step 2: Convert to fraction form
    640,498.32/883,990.80 = 382,389.12/x
  3. Step 3: Cross multiply
    640,498.32x = 883,990.80 × 382,389.12
  4. Step 4: Simplify right side
    640,498.32x = 338,028,464,100.10
  5. Step 5: Solve for x
    x = 338,028,464,100.10/640,498.32
  6. Step 6: Final answer
    x = 527,758.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.