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Finding the Fourth Proportional to 419,018.32, 578,247.06 and 228,031.48

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Solution

The fourth proportional to 419,018.32, 578,247.06 and 228,031.48 is: 314,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,018.32 : 578,247.06 = 228,031.48 : x
  2. Step 2: Convert to fraction form
    419,018.32/578,247.06 = 228,031.48/x
  3. Step 3: Cross multiply
    419,018.32x = 578,247.06 × 228,031.48
  4. Step 4: Simplify right side
    419,018.32x = 131,858,532,897.45
  5. Step 5: Solve for x
    x = 131,858,532,897.45/419,018.32
  6. Step 6: Final answer
    x = 314,684.41

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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.