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Finding the Fourth Proportional to 409,701,661.80, 614,552,492.70 and 366,654,940.80

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Solution

The fourth proportional to 409,701,661.80, 614,552,492.70 and 366,654,940.80 is: 549,982,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,701,661.80 : 614,552,492.70 = 366,654,940.80 : x
  2. Step 2: Convert to fraction form
    409,701,661.80/614,552,492.70 = 366,654,940.80/x
  3. Step 3: Cross multiply
    409,701,661.80x = 614,552,492.70 × 366,654,940.80
  4. Step 4: Simplify right side
    409,701,661.80x = 225,328,707,829,410,944
  5. Step 5: Solve for x
    x = 225,328,707,829,410,944/409,701,661.80
  6. Step 6: Final answer
    x = 549,982,411.20

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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.