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Finding the Fourth Proportional to 708,848.13, 978,174.84 and 402,884.13

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Solution

The fourth proportional to 708,848.13, 978,174.84 and 402,884.13 is: 555,959.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,848.13 : 978,174.84 = 402,884.13 : x
  2. Step 2: Convert to fraction form
    708,848.13/978,174.84 = 402,884.13/x
  3. Step 3: Cross multiply
    708,848.13x = 978,174.84 × 402,884.13
  4. Step 4: Simplify right side
    708,848.13x = 394,091,119,401.29
  5. Step 5: Solve for x
    x = 394,091,119,401.29/708,848.13
  6. Step 6: Final answer
    x = 555,959.88

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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.