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Finding the Fourth Proportional to 708,831.51, 978,165.90 and 402,941.31

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Solution

The fourth proportional to 708,831.51, 978,165.90 and 402,941.31 is: 556,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,831.51 : 978,165.90 = 402,941.31 : x
  2. Step 2: Convert to fraction form
    708,831.51/978,165.90 = 402,941.31/x
  3. Step 3: Cross multiply
    708,831.51x = 978,165.90 × 402,941.31
  4. Step 4: Simplify right side
    708,831.51x = 394,143,449,143.33
  5. Step 5: Solve for x
    x = 394,143,449,143.33/708,831.51
  6. Step 6: Final answer
    x = 556,046.74

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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.