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Finding the Fourth Proportional to 708,795.67, 978,102.57 and 402,831.62

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Solution

The fourth proportional to 708,795.67, 978,102.57 and 402,831.62 is: 555,887.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,795.67 : 978,102.57 = 402,831.62 : x
  2. Step 2: Convert to fraction form
    708,795.67/978,102.57 = 402,831.62/x
  3. Step 3: Cross multiply
    708,795.67x = 978,102.57 × 402,831.62
  4. Step 4: Simplify right side
    708,795.67x = 394,010,642,799.26
  5. Step 5: Solve for x
    x = 394,010,642,799.26/708,795.67
  6. Step 6: Final answer
    x = 555,887.49

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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.