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Finding the Fourth Proportional to 708,945.36, 978,305.70 and 402,979.20

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Solution

The fourth proportional to 708,945.36, 978,305.70 and 402,979.20 is: 556,089.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,945.36 : 978,305.70 = 402,979.20 : x
  2. Step 2: Convert to fraction form
    708,945.36/978,305.70 = 402,979.20/x
  3. Step 3: Cross multiply
    708,945.36x = 978,305.70 × 402,979.20
  4. Step 4: Simplify right side
    708,945.36x = 394,236,848,341.44
  5. Step 5: Solve for x
    x = 394,236,848,341.44/708,945.36
  6. Step 6: Final answer
    x = 556,089.19

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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.