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Finding the Fourth Proportional to 427,216.47, 640,264.11 and 314,368.29

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Solution

The fourth proportional to 427,216.47, 640,264.11 and 314,368.29 is: 471,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,216.47 : 640,264.11 = 314,368.29 : x
  2. Step 2: Convert to fraction form
    427,216.47/640,264.11 = 314,368.29/x
  3. Step 3: Cross multiply
    427,216.47x = 640,264.11 × 314,368.29
  4. Step 4: Simplify right side
    427,216.47x = 201,278,733,409.07
  5. Step 5: Solve for x
    x = 201,278,733,409.07/427,216.47
  6. Step 6: Final answer
    x = 471,139.92

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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.