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Finding the Fourth Proportional to 478,297.80, 717,547.89 and 158,431.55

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Solution

The fourth proportional to 478,297.80, 717,547.89 and 158,431.55 is: 237,680.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,297.80 : 717,547.89 = 158,431.55 : x
  2. Step 2: Convert to fraction form
    478,297.80/717,547.89 = 158,431.55/x
  3. Step 3: Cross multiply
    478,297.80x = 717,547.89 × 158,431.55
  4. Step 4: Simplify right side
    478,297.80x = 113,682,220,824.19
  5. Step 5: Solve for x
    x = 113,682,220,824.19/478,297.80
  6. Step 6: Final answer
    x = 237,680.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.