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Finding the Fourth Proportional to 427,271.41, 640,061.74 and 347,398.53

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Solution

The fourth proportional to 427,271.41, 640,061.74 and 347,398.53 is: 520,410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,271.41 : 640,061.74 = 347,398.53 : x
  2. Step 2: Convert to fraction form
    427,271.41/640,061.74 = 347,398.53/x
  3. Step 3: Cross multiply
    427,271.41x = 640,061.74 × 347,398.53
  4. Step 4: Simplify right side
    427,271.41x = 222,356,507,585.24
  5. Step 5: Solve for x
    x = 222,356,507,585.24/427,271.41
  6. Step 6: Final answer
    x = 520,410.45

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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.