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Finding the Fourth Proportional to 384,914,401.80, 577,371,602.70 and 381,513,179.40

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Solution

The fourth proportional to 384,914,401.80, 577,371,602.70 and 381,513,179.40 is: 572,269,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,914,401.80 : 577,371,602.70 = 381,513,179.40 : x
  2. Step 2: Convert to fraction form
    384,914,401.80/577,371,602.70 = 381,513,179.40/x
  3. Step 3: Cross multiply
    384,914,401.80x = 577,371,602.70 × 381,513,179.40
  4. Step 4: Simplify right side
    384,914,401.80x = 220,274,875,841,350,624
  5. Step 5: Solve for x
    x = 220,274,875,841,350,624/384,914,401.80
  6. Step 6: Final answer
    x = 572,269,769.10

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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.