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Finding the Fourth Proportional to 256,023.59, 383,916.51 and 149,438.32

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Solution

The fourth proportional to 256,023.59, 383,916.51 and 149,438.32 is: 224,088.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,023.59 : 383,916.51 = 149,438.32 : x
  2. Step 2: Convert to fraction form
    256,023.59/383,916.51 = 149,438.32/x
  3. Step 3: Cross multiply
    256,023.59x = 383,916.51 × 149,438.32
  4. Step 4: Simplify right side
    256,023.59x = 57,371,837,314.87
  5. Step 5: Solve for x
    x = 57,371,837,314.87/256,023.59
  6. Step 6: Final answer
    x = 224,088.09

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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.