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Finding the Fourth Proportional to 978,012.36, 1,467,365.63 and 438,226.20

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Solution

The fourth proportional to 978,012.36, 1,467,365.63 and 438,226.20 is: 657,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,012.36 : 1,467,365.63 = 438,226.20 : x
  2. Step 2: Convert to fraction form
    978,012.36/1,467,365.63 = 438,226.20/x
  3. Step 3: Cross multiply
    978,012.36x = 1,467,365.63 × 438,226.20
  4. Step 4: Simplify right side
    978,012.36x = 643,038,061,854.38
  5. Step 5: Solve for x
    x = 643,038,061,854.38/978,012.36
  6. Step 6: Final answer
    x = 657,494.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.