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Finding the Fourth Proportional to 298,521.40, 411,643.82 and 230,549.44

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Solution

The fourth proportional to 298,521.40, 411,643.82 and 230,549.44 is: 317,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,521.40 : 411,643.82 = 230,549.44 : x
  2. Step 2: Convert to fraction form
    298,521.40/411,643.82 = 230,549.44/x
  3. Step 3: Cross multiply
    298,521.40x = 411,643.82 × 230,549.44
  4. Step 4: Simplify right side
    298,521.40x = 94,904,252,180.46
  5. Step 5: Solve for x
    x = 94,904,252,180.46/298,521.40
  6. Step 6: Final answer
    x = 317,914.40

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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.