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Finding the Fourth Proportional to 708,854.34, 978,405.03 and 403,109.40

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Solution

The fourth proportional to 708,854.34, 978,405.03 and 403,109.40 is: 556,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,854.34 : 978,405.03 = 403,109.40 : x
  2. Step 2: Convert to fraction form
    708,854.34/978,405.03 = 403,109.40/x
  3. Step 3: Cross multiply
    708,854.34x = 978,405.03 × 403,109.40
  4. Step 4: Simplify right side
    708,854.34x = 394,404,264,600.28
  5. Step 5: Solve for x
    x = 394,404,264,600.28/708,854.34
  6. Step 6: Final answer
    x = 556,396.77

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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.