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Finding the Fourth Proportional to 274,281.40, 411,422.10 and 218,985.40

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Solution

The fourth proportional to 274,281.40, 411,422.10 and 218,985.40 is: 328,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,281.40 : 411,422.10 = 218,985.40 : x
  2. Step 2: Convert to fraction form
    274,281.40/411,422.10 = 218,985.40/x
  3. Step 3: Cross multiply
    274,281.40x = 411,422.10 × 218,985.40
  4. Step 4: Simplify right side
    274,281.40x = 90,095,433,137.34
  5. Step 5: Solve for x
    x = 90,095,433,137.34/274,281.40
  6. Step 6: Final answer
    x = 328,478.10

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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.