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Finding the Fourth Proportional to 978,023.61, 1,467,382.50 and 438,237.45

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Solution

The fourth proportional to 978,023.61, 1,467,382.50 and 438,237.45 is: 657,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,023.61 : 1,467,382.50 = 438,237.45 : x
  2. Step 2: Convert to fraction form
    978,023.61/1,467,382.50 = 438,237.45/x
  3. Step 3: Cross multiply
    978,023.61x = 1,467,382.50 × 438,237.45
  4. Step 4: Simplify right side
    978,023.61x = 643,061,964,974.63
  5. Step 5: Solve for x
    x = 643,061,964,974.63/978,023.61
  6. Step 6: Final answer
    x = 657,511.70

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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.