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Finding the Fourth Proportional to 256,395.06, 384,629.03 and 78,916.86

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Solution

The fourth proportional to 256,395.06, 384,629.03 and 78,916.86 is: 118,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,395.06 : 384,629.03 = 78,916.86 : x
  2. Step 2: Convert to fraction form
    256,395.06/384,629.03 = 78,916.86/x
  3. Step 3: Cross multiply
    256,395.06x = 384,629.03 × 78,916.86
  4. Step 4: Simplify right side
    256,395.06x = 30,353,712,994.72
  5. Step 5: Solve for x
    x = 30,353,712,994.72/256,395.06
  6. Step 6: Final answer
    x = 118,386.50

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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.