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Finding the Fourth Proportional to 709,168,107.96, 978,913,145.40 and 426,923,672.76

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Solution

The fourth proportional to 709,168,107.96, 978,913,145.40 and 426,923,672.76 is: 589,311,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,168,107.96 : 978,913,145.40 = 426,923,672.76 : x
  2. Step 2: Convert to fraction form
    709,168,107.96/978,913,145.40 = 426,923,672.76/x
  3. Step 3: Cross multiply
    709,168,107.96x = 978,913,145.40 × 426,923,672.76
  4. Step 4: Simplify right side
    709,168,107.96x = 417,921,195,347,211,904
  5. Step 5: Solve for x
    x = 417,921,195,347,211,904/709,168,107.96
  6. Step 6: Final answer
    x = 589,311,886.22

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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.