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Finding the Fourth Proportional to 709,003.04, 978,482.16 and 403,175.20

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Solution

The fourth proportional to 709,003.04, 978,482.16 and 403,175.20 is: 556,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,003.04 : 978,482.16 = 403,175.20 : x
  2. Step 2: Convert to fraction form
    709,003.04/978,482.16 = 403,175.20/x
  3. Step 3: Cross multiply
    709,003.04x = 978,482.16 × 403,175.20
  4. Step 4: Simplify right side
    709,003.04x = 394,499,740,554.43
  5. Step 5: Solve for x
    x = 394,499,740,554.43/709,003.04
  6. Step 6: Final answer
    x = 556,414.74

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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.