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Finding the Fourth Proportional to 708,888.32, 978,226.91 and 402,922.16

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Solution

The fourth proportional to 708,888.32, 978,226.91 and 402,922.16 is: 556,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,888.32 : 978,226.91 = 402,922.16 : x
  2. Step 2: Convert to fraction form
    708,888.32/978,226.91 = 402,922.16/x
  3. Step 3: Cross multiply
    708,888.32x = 978,226.91 × 402,922.16
  4. Step 4: Simplify right side
    708,888.32x = 394,149,297,820.89
  5. Step 5: Solve for x
    x = 394,149,297,820.89/708,888.32
  6. Step 6: Final answer
    x = 556,010.43

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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.