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Finding the Fourth Proportional to 409,511.10, 614,266.65 and 372,113.40

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Solution

The fourth proportional to 409,511.10, 614,266.65 and 372,113.40 is: 558,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,511.10 : 614,266.65 = 372,113.40 : x
  2. Step 2: Convert to fraction form
    409,511.10/614,266.65 = 372,113.40/x
  3. Step 3: Cross multiply
    409,511.10x = 614,266.65 × 372,113.40
  4. Step 4: Simplify right side
    409,511.10x = 228,576,851,638.11
  5. Step 5: Solve for x
    x = 228,576,851,638.11/409,511.10
  6. Step 6: Final answer
    x = 558,170.10

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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.