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Finding the Fourth Proportional to 708,816.58, 978,191.40 and 402,905.78

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Solution

The fourth proportional to 708,816.58, 978,191.40 and 402,905.78 is: 556,023.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,816.58 : 978,191.40 = 402,905.78 : x
  2. Step 2: Convert to fraction form
    708,816.58/978,191.40 = 402,905.78/x
  3. Step 3: Cross multiply
    708,816.58x = 978,191.40 × 402,905.78
  4. Step 4: Simplify right side
    708,816.58x = 394,118,969,006.29
  5. Step 5: Solve for x
    x = 394,118,969,006.29/708,816.58
  6. Step 6: Final answer
    x = 556,023.91

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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.