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Finding the Fourth Proportional to 709,018.98, 978,458.31 and 403,088.46

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Solution

The fourth proportional to 709,018.98, 978,458.31 and 403,088.46 is: 556,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,018.98 : 978,458.31 = 403,088.46 : x
  2. Step 2: Convert to fraction form
    709,018.98/978,458.31 = 403,088.46/x
  3. Step 3: Cross multiply
    709,018.98x = 978,458.31 × 403,088.46
  4. Step 4: Simplify right side
    709,018.98x = 394,405,253,352.10
  5. Step 5: Solve for x
    x = 394,405,253,352.10/709,018.98
  6. Step 6: Final answer
    x = 556,268.96

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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.