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Finding the Fourth Proportional to 474,260,652, 654,479,699.76 and 257,205,420

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Solution

The fourth proportional to 474,260,652, 654,479,699.76 and 257,205,420 is: 354,943,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,260,652 : 654,479,699.76 = 257,205,420 : x
  2. Step 2: Convert to fraction form
    474,260,652/654,479,699.76 = 257,205,420/x
  3. Step 3: Cross multiply
    474,260,652x = 654,479,699.76 × 257,205,420
  4. Step 4: Simplify right side
    474,260,652x = 168,335,726,058,244,704
  5. Step 5: Solve for x
    x = 168,335,726,058,244,704/474,260,652
  6. Step 6: Final answer
    x = 354,943,479.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.