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Finding the Fourth Proportional to 257,904,679.60, 386,857,019.40 and 171,362,465.20

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Solution

The fourth proportional to 257,904,679.60, 386,857,019.40 and 171,362,465.20 is: 257,043,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,904,679.60 : 386,857,019.40 = 171,362,465.20 : x
  2. Step 2: Convert to fraction form
    257,904,679.60/386,857,019.40 = 171,362,465.20/x
  3. Step 3: Cross multiply
    257,904,679.60x = 386,857,019.40 × 171,362,465.20
  4. Step 4: Simplify right side
    257,904,679.60x = 66,292,772,524,308,216
  5. Step 5: Solve for x
    x = 66,292,772,524,308,216/257,904,679.60
  6. Step 6: Final answer
    x = 257,043,697.80

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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.