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Finding the Fourth Proportional to 459,967.11, 689,902.13 and 123,041.78

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Solution

The fourth proportional to 459,967.11, 689,902.13 and 123,041.78 is: 184,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,967.11 : 689,902.13 = 123,041.78 : x
  2. Step 2: Convert to fraction form
    459,967.11/689,902.13 = 123,041.78/x
  3. Step 3: Cross multiply
    459,967.11x = 689,902.13 × 123,041.78
  4. Step 4: Simplify right side
    459,967.11x = 84,886,782,036.27
  5. Step 5: Solve for x
    x = 84,886,782,036.27/459,967.11
  6. Step 6: Final answer
    x = 184,549.68

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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.