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Finding the Fourth Proportional to 411,877.80, 618,162.30 and 201,695.40

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Solution

The fourth proportional to 411,877.80, 618,162.30 and 201,695.40 is: 302,712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,877.80 : 618,162.30 = 201,695.40 : x
  2. Step 2: Convert to fraction form
    411,877.80/618,162.30 = 201,695.40/x
  3. Step 3: Cross multiply
    411,877.80x = 618,162.30 × 201,695.40
  4. Step 4: Simplify right side
    411,877.80x = 124,680,492,363.42
  5. Step 5: Solve for x
    x = 124,680,492,363.42/411,877.80
  6. Step 6: Final answer
    x = 302,712.34

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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.