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Finding the Fourth Proportional to 417,312,698.40, 625,969,047.60 and 264,131,719.20

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Solution

The fourth proportional to 417,312,698.40, 625,969,047.60 and 264,131,719.20 is: 396,197,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,312,698.40 : 625,969,047.60 = 264,131,719.20 : x
  2. Step 2: Convert to fraction form
    417,312,698.40/625,969,047.60 = 264,131,719.20/x
  3. Step 3: Cross multiply
    417,312,698.40x = 625,969,047.60 × 264,131,719.20
  4. Step 4: Simplify right side
    417,312,698.40x = 165,338,280,708,574,624
  5. Step 5: Solve for x
    x = 165,338,280,708,574,624/417,312,698.40
  6. Step 6: Final answer
    x = 396,197,578.80

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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.