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Finding the Fourth Proportional to 429,018.50, 589,946.01 and 372,331.46

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Solution

The fourth proportional to 429,018.50, 589,946.01 and 372,331.46 is: 511,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,018.50 : 589,946.01 = 372,331.46 : x
  2. Step 2: Convert to fraction form
    429,018.50/589,946.01 = 372,331.46/x
  3. Step 3: Cross multiply
    429,018.50x = 589,946.01 × 372,331.46
  4. Step 4: Simplify right side
    429,018.50x = 219,655,459,224.48
  5. Step 5: Solve for x
    x = 219,655,459,224.48/429,018.50
  6. Step 6: Final answer
    x = 511,995.31

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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.