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Finding the Fourth Proportional to 489,888,002.60, 734,832,003.90 and 198,894,530.60

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Solution

The fourth proportional to 489,888,002.60, 734,832,003.90 and 198,894,530.60 is: 298,341,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,888,002.60 : 734,832,003.90 = 198,894,530.60 : x
  2. Step 2: Convert to fraction form
    489,888,002.60/734,832,003.90 = 198,894,530.60/x
  3. Step 3: Cross multiply
    489,888,002.60x = 734,832,003.90 × 198,894,530.60
  4. Step 4: Simplify right side
    489,888,002.60x = 146,154,066,485,547,872
  5. Step 5: Solve for x
    x = 146,154,066,485,547,872/489,888,002.60
  6. Step 6: Final answer
    x = 298,341,795.90

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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.