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Finding the Fourth Proportional to 256,501.74, 354,199.36 and 159,870.52

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Solution

The fourth proportional to 256,501.74, 354,199.36 and 159,870.52 is: 220,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,501.74 : 354,199.36 = 159,870.52 : x
  2. Step 2: Convert to fraction form
    256,501.74/354,199.36 = 159,870.52/x
  3. Step 3: Cross multiply
    256,501.74x = 354,199.36 × 159,870.52
  4. Step 4: Simplify right side
    256,501.74x = 56,626,035,866.87
  5. Step 5: Solve for x
    x = 56,626,035,866.87/256,501.74
  6. Step 6: Final answer
    x = 220,762.77

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1.5x scale

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.