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Finding the Fourth Proportional to 304,856.80, 420,024.94 and 201,307.11

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Solution

The fourth proportional to 304,856.80, 420,024.94 and 201,307.11 is: 277,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,856.80 : 420,024.94 = 201,307.11 : x
  2. Step 2: Convert to fraction form
    304,856.80/420,024.94 = 201,307.11/x
  3. Step 3: Cross multiply
    304,856.80x = 420,024.94 × 201,307.11
  4. Step 4: Simplify right side
    304,856.80x = 84,554,007,600.76
  5. Step 5: Solve for x
    x = 84,554,007,600.76/304,856.80
  6. Step 6: Final answer
    x = 277,356.47

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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.