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Finding the Fourth Proportional to 419,009.68, 578,233.38 and 228,018.88

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Solution

The fourth proportional to 419,009.68, 578,233.38 and 228,018.88 is: 314,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,009.68 : 578,233.38 = 228,018.88 : x
  2. Step 2: Convert to fraction form
    419,009.68/578,233.38 = 228,018.88/x
  3. Step 3: Cross multiply
    419,009.68x = 578,233.38 × 228,018.88
  4. Step 4: Simplify right side
    419,009.68x = 131,848,127,686.21
  5. Step 5: Solve for x
    x = 131,848,127,686.21/419,009.68
  6. Step 6: Final answer
    x = 314,666.07

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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.