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Finding the Fourth Proportional to 381,691,792.60, 572,537,688.90 and 322,569,309.40

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Solution

The fourth proportional to 381,691,792.60, 572,537,688.90 and 322,569,309.40 is: 483,853,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,691,792.60 : 572,537,688.90 = 322,569,309.40 : x
  2. Step 2: Convert to fraction form
    381,691,792.60/572,537,688.90 = 322,569,309.40/x
  3. Step 3: Cross multiply
    381,691,792.60x = 572,537,688.90 × 322,569,309.40
  4. Step 4: Simplify right side
    381,691,792.60x = 184,683,086,913,945,024
  5. Step 5: Solve for x
    x = 184,683,086,913,945,024/381,691,792.60
  6. Step 6: Final answer
    x = 483,853,964.10

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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.