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Finding the Fourth Proportional to 708,712.83, 978,106.68 and 402,835.14

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Solution

The fourth proportional to 708,712.83, 978,106.68 and 402,835.14 is: 555,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,712.83 : 978,106.68 = 402,835.14 : x
  2. Step 2: Convert to fraction form
    708,712.83/978,106.68 = 402,835.14/x
  3. Step 3: Cross multiply
    708,712.83x = 978,106.68 × 402,835.14
  4. Step 4: Simplify right side
    708,712.83x = 394,015,741,372.74
  5. Step 5: Solve for x
    x = 394,015,741,372.74/708,712.83
  6. Step 6: Final answer
    x = 555,959.66

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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.