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Finding the Fourth Proportional to 374,406,978.60, 516,707,799.30 and 209,409,797.16

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Solution

The fourth proportional to 374,406,978.60, 516,707,799.30 and 209,409,797.16 is: 289,000,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,406,978.60 : 516,707,799.30 = 209,409,797.16 : x
  2. Step 2: Convert to fraction form
    374,406,978.60/516,707,799.30 = 209,409,797.16/x
  3. Step 3: Cross multiply
    374,406,978.60x = 516,707,799.30 × 209,409,797.16
  4. Step 4: Simplify right side
    374,406,978.60x = 108,203,675,442,402,992
  5. Step 5: Solve for x
    x = 108,203,675,442,402,992/374,406,978.60
  6. Step 6: Final answer
    x = 289,000,156.59

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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.