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Finding the Fourth Proportional to 413,812.20, 620,718.30 and 294,839.40

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Solution

The fourth proportional to 413,812.20, 620,718.30 and 294,839.40 is: 442,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,812.20 : 620,718.30 = 294,839.40 : x
  2. Step 2: Convert to fraction form
    413,812.20/620,718.30 = 294,839.40/x
  3. Step 3: Cross multiply
    413,812.20x = 620,718.30 × 294,839.40
  4. Step 4: Simplify right side
    413,812.20x = 183,012,211,141.02
  5. Step 5: Solve for x
    x = 183,012,211,141.02/413,812.20
  6. Step 6: Final answer
    x = 442,259.10

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1.5x scale

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.