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Finding the Fourth Proportional to 256,509.96, 384,746.68 and 78,998.46

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Solution

The fourth proportional to 256,509.96, 384,746.68 and 78,998.46 is: 118,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,509.96 : 384,746.68 = 78,998.46 : x
  2. Step 2: Convert to fraction form
    256,509.96/384,746.68 = 78,998.46/x
  3. Step 3: Cross multiply
    256,509.96x = 384,746.68 × 78,998.46
  4. Step 4: Simplify right side
    256,509.96x = 30,394,395,210.11
  5. Step 5: Solve for x
    x = 30,394,395,210.11/256,509.96
  6. Step 6: Final answer
    x = 118,492.07

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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.