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Finding the Fourth Proportional to 381,696,019.40, 572,544,029.10 and 355,997,894.60

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Solution

The fourth proportional to 381,696,019.40, 572,544,029.10 and 355,997,894.60 is: 533,996,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,696,019.40 : 572,544,029.10 = 355,997,894.60 : x
  2. Step 2: Convert to fraction form
    381,696,019.40/572,544,029.10 = 355,997,894.60/x
  3. Step 3: Cross multiply
    381,696,019.40x = 572,544,029.10 × 355,997,894.60
  4. Step 4: Simplify right side
    381,696,019.40x = 203,824,468,925,401,152
  5. Step 5: Solve for x
    x = 203,824,468,925,401,152/381,696,019.40
  6. Step 6: Final answer
    x = 533,996,841.90

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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.