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Finding the Fourth Proportional to 256,501.60, 384,752.40 and 123,313.30

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Solution

The fourth proportional to 256,501.60, 384,752.40 and 123,313.30 is: 184,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,501.60 : 384,752.40 = 123,313.30 : x
  2. Step 2: Convert to fraction form
    256,501.60/384,752.40 = 123,313.30/x
  3. Step 3: Cross multiply
    256,501.60x = 384,752.40 × 123,313.30
  4. Step 4: Simplify right side
    256,501.60x = 47,445,088,126.92
  5. Step 5: Solve for x
    x = 47,445,088,126.92/256,501.60
  6. Step 6: Final answer
    x = 184,969.95

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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.