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Finding the Fourth Proportional to 708,716.08, 978,111.20 and 402,838.48

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Solution

The fourth proportional to 708,716.08, 978,111.20 and 402,838.48 is: 555,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,716.08 : 978,111.20 = 402,838.48 : x
  2. Step 2: Convert to fraction form
    708,716.08/978,111.20 = 402,838.48/x
  3. Step 3: Cross multiply
    708,716.08x = 978,111.20 × 402,838.48
  4. Step 4: Simplify right side
    708,716.08x = 394,020,829,078.98
  5. Step 5: Solve for x
    x = 394,020,829,078.98/708,716.08
  6. Step 6: Final answer
    x = 555,964.29

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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.