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Finding the Fourth Proportional to 708,833.51, 978,168.66 and 402,943.31

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Solution

The fourth proportional to 708,833.51, 978,168.66 and 402,943.31 is: 556,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,833.51 : 978,168.66 = 402,943.31 : x
  2. Step 2: Convert to fraction form
    708,833.51/978,168.66 = 402,943.31/x
  3. Step 3: Cross multiply
    708,833.51x = 978,168.66 × 402,943.31
  4. Step 4: Simplify right side
    708,833.51x = 394,146,517,598.67
  5. Step 5: Solve for x
    x = 394,146,517,598.67/708,833.51
  6. Step 6: Final answer
    x = 556,049.50

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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.