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Finding the Fourth Proportional to 468,649,137.20, 702,973,705.80 and 392,688,503.60

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Solution

The fourth proportional to 468,649,137.20, 702,973,705.80 and 392,688,503.60 is: 589,032,755.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,649,137.20 : 702,973,705.80 = 392,688,503.60 : x
  2. Step 2: Convert to fraction form
    468,649,137.20/702,973,705.80 = 392,688,503.60/x
  3. Step 3: Cross multiply
    468,649,137.20x = 702,973,705.80 × 392,688,503.60
  4. Step 4: Simplify right side
    468,649,137.20x = 276,049,692,600,748,640
  5. Step 5: Solve for x
    x = 276,049,692,600,748,640/468,649,137.20
  6. Step 6: Final answer
    x = 589,032,755.40

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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.