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Finding the Fourth Proportional to 708,806.51, 978,117.46 and 402,842.46

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Solution

The fourth proportional to 708,806.51, 978,117.46 and 402,842.46 is: 555,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,806.51 : 978,117.46 = 402,842.46 : x
  2. Step 2: Convert to fraction form
    708,806.51/978,117.46 = 402,842.46/x
  3. Step 3: Cross multiply
    708,806.51x = 978,117.46 × 402,842.46
  4. Step 4: Simplify right side
    708,806.51x = 394,027,243,755.35
  5. Step 5: Solve for x
    x = 394,027,243,755.35/708,806.51
  6. Step 6: Final answer
    x = 555,902.41

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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.