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Finding the Fourth Proportional to 383,443,480.80, 575,165,221.20 and 292,744,216.80

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Solution

The fourth proportional to 383,443,480.80, 575,165,221.20 and 292,744,216.80 is: 439,116,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,443,480.80 : 575,165,221.20 = 292,744,216.80 : x
  2. Step 2: Convert to fraction form
    383,443,480.80/575,165,221.20 = 292,744,216.80/x
  3. Step 3: Cross multiply
    383,443,480.80x = 575,165,221.20 × 292,744,216.80
  4. Step 4: Simplify right side
    383,443,480.80x = 168,376,292,210,792,768
  5. Step 5: Solve for x
    x = 168,376,292,210,792,768/383,443,480.80
  6. Step 6: Final answer
    x = 439,116,325.20

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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.