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Finding the Fourth Proportional to 708,920.32, 978,270.96 and 402,954.16

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Solution

The fourth proportional to 708,920.32, 978,270.96 and 402,954.16 is: 556,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,920.32 : 978,270.96 = 402,954.16 : x
  2. Step 2: Convert to fraction form
    708,920.32/978,270.96 = 402,954.16/x
  3. Step 3: Cross multiply
    708,920.32x = 978,270.96 × 402,954.16
  4. Step 4: Simplify right side
    708,920.32x = 394,198,352,939.19
  5. Step 5: Solve for x
    x = 394,198,352,939.19/708,920.32
  6. Step 6: Final answer
    x = 556,054.53

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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.