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Finding the Fourth Proportional to 468,649,136.70, 702,973,705.05 and 392,688,503.10

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Solution

The fourth proportional to 468,649,136.70, 702,973,705.05 and 392,688,503.10 is: 589,032,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,649,136.70 : 702,973,705.05 = 392,688,503.10 : x
  2. Step 2: Convert to fraction form
    468,649,136.70/702,973,705.05 = 392,688,503.10/x
  3. Step 3: Cross multiply
    468,649,136.70x = 702,973,705.05 × 392,688,503.10
  4. Step 4: Simplify right side
    468,649,136.70x = 276,049,691,954,745,408
  5. Step 5: Solve for x
    x = 276,049,691,954,745,408/468,649,136.70
  6. Step 6: Final answer
    x = 589,032,754.65

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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.