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Finding the Fourth Proportional to 723,412.94, 998,308.14 and 401,114.75

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Solution

The fourth proportional to 723,412.94, 998,308.14 and 401,114.75 is: 553,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,412.94 : 998,308.14 = 401,114.75 : x
  2. Step 2: Convert to fraction form
    723,412.94/998,308.14 = 401,114.75/x
  3. Step 3: Cross multiply
    723,412.94x = 998,308.14 × 401,114.75
  4. Step 4: Simplify right side
    723,412.94x = 400,436,119,999.07
  5. Step 5: Solve for x
    x = 400,436,119,999.07/723,412.94
  6. Step 6: Final answer
    x = 553,537.40

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1.5x scale

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.