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Finding the Fourth Proportional to 609,804.78, 915,269.34 and 310,501.14

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Solution

The fourth proportional to 609,804.78, 915,269.34 and 310,501.14 is: 466,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,804.78 : 915,269.34 = 310,501.14 : x
  2. Step 2: Convert to fraction form
    609,804.78/915,269.34 = 310,501.14/x
  3. Step 3: Cross multiply
    609,804.78x = 915,269.34 × 310,501.14
  4. Step 4: Simplify right side
    609,804.78x = 284,192,173,477.05
  5. Step 5: Solve for x
    x = 284,192,173,477.05/609,804.78
  6. Step 6: Final answer
    x = 466,037.96

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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.