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Finding the Fourth Proportional to 471,649.71, 650,875.61 and 256,787.89

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Solution

The fourth proportional to 471,649.71, 650,875.61 and 256,787.89 is: 354,366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,649.71 : 650,875.61 = 256,787.89 : x
  2. Step 2: Convert to fraction form
    471,649.71/650,875.61 = 256,787.89/x
  3. Step 3: Cross multiply
    471,649.71x = 650,875.61 × 256,787.89
  4. Step 4: Simplify right side
    471,649.71x = 167,136,974,544.36
  5. Step 5: Solve for x
    x = 167,136,974,544.36/471,649.71
  6. Step 6: Final answer
    x = 354,366.75

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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.