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Finding the Fourth Proportional to 329,328.91, 454,223.14 and 283,466.61

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Solution

The fourth proportional to 329,328.91, 454,223.14 and 283,466.61 is: 390,968.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,328.91 : 454,223.14 = 283,466.61 : x
  2. Step 2: Convert to fraction form
    329,328.91/454,223.14 = 283,466.61/x
  3. Step 3: Cross multiply
    329,328.91x = 454,223.14 × 283,466.61
  4. Step 4: Simplify right side
    329,328.91x = 128,757,094,106.25
  5. Step 5: Solve for x
    x = 128,757,094,106.25/329,328.91
  6. Step 6: Final answer
    x = 390,968.08

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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.