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Finding the Fourth Proportional to 700,709.79, 966,979.47 and 378,419.88

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Solution

The fourth proportional to 700,709.79, 966,979.47 and 378,419.88 is: 522,219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,709.79 : 966,979.47 = 378,419.88 : x
  2. Step 2: Convert to fraction form
    700,709.79/966,979.47 = 378,419.88/x
  3. Step 3: Cross multiply
    700,709.79x = 966,979.47 × 378,419.88
  4. Step 4: Simplify right side
    700,709.79x = 365,924,254,999.86
  5. Step 5: Solve for x
    x = 365,924,254,999.86/700,709.79
  6. Step 6: Final answer
    x = 522,219.41

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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.