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Finding the Fourth Proportional to 699,471.64, 965,345.61 and 427,698.82

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Solution

The fourth proportional to 699,471.64, 965,345.61 and 427,698.82 is: 590,270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,471.64 : 965,345.61 = 427,698.82 : x
  2. Step 2: Convert to fraction form
    699,471.64/965,345.61 = 427,698.82/x
  3. Step 3: Cross multiply
    699,471.64x = 965,345.61 × 427,698.82
  4. Step 4: Simplify right side
    699,471.64x = 412,877,178,289.18
  5. Step 5: Solve for x
    x = 412,877,178,289.18/699,471.64
  6. Step 6: Final answer
    x = 590,270.08

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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.