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Finding the Fourth Proportional to 319,147,613.60, 478,746,303.60 and 137,400,720.80

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Solution

The fourth proportional to 319,147,613.60, 478,746,303.60 and 137,400,720.80 is: 206,111,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,147,613.60 : 478,746,303.60 = 137,400,720.80 : x
  2. Step 2: Convert to fraction form
    319,147,613.60/478,746,303.60 = 137,400,720.80/x
  3. Step 3: Cross multiply
    319,147,613.60x = 478,746,303.60 × 137,400,720.80
  4. Step 4: Simplify right side
    319,147,613.60x = 65,780,087,194,975,640
  5. Step 5: Solve for x
    x = 65,780,087,194,975,640/319,147,613.60
  6. Step 6: Final answer
    x = 206,111,794.02

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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.