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Finding the Fourth Proportional to 427,474.40, 642,133.20 and 411,807.20

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Solution

The fourth proportional to 427,474.40, 642,133.20 and 411,807.20 is: 618,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,474.40 : 642,133.20 = 411,807.20 : x
  2. Step 2: Convert to fraction form
    427,474.40/642,133.20 = 411,807.20/x
  3. Step 3: Cross multiply
    427,474.40x = 642,133.20 × 411,807.20
  4. Step 4: Simplify right side
    427,474.40x = 264,435,075,119.04
  5. Step 5: Solve for x
    x = 264,435,075,119.04/427,474.40
  6. Step 6: Final answer
    x = 618,598.62

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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.