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Finding the Fourth Proportional to 488,642,908.80, 732,397,492.80 and 197,366,001.60

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Solution

The fourth proportional to 488,642,908.80, 732,397,492.80 and 197,366,001.60 is: 295,820,039.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,642,908.80 : 732,397,492.80 = 197,366,001.60 : x
  2. Step 2: Convert to fraction form
    488,642,908.80/732,397,492.80 = 197,366,001.60/x
  3. Step 3: Cross multiply
    488,642,908.80x = 732,397,492.80 × 197,366,001.60
  4. Step 4: Simplify right side
    488,642,908.80x = 144,550,364,735,800,768
  5. Step 5: Solve for x
    x = 144,550,364,735,800,768/488,642,908.80
  6. Step 6: Final answer
    x = 295,820,039.81

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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.