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Finding the Fourth Proportional to 709,196.19, 978,686.04 and 403,272.60

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Solution

The fourth proportional to 709,196.19, 978,686.04 and 403,272.60 is: 556,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,196.19 : 978,686.04 = 403,272.60 : x
  2. Step 2: Convert to fraction form
    709,196.19/978,686.04 = 403,272.60/x
  3. Step 3: Cross multiply
    709,196.19x = 978,686.04 × 403,272.60
  4. Step 4: Simplify right side
    709,196.19x = 394,677,259,041.07
  5. Step 5: Solve for x
    x = 394,677,259,041.07/709,196.19
  6. Step 6: Final answer
    x = 556,513.51

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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.