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Finding the Fourth Proportional to 305,240.16, 420,816.96 and 257,409.66

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Solution

The fourth proportional to 305,240.16, 420,816.96 and 257,409.66 is: 354,875.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,240.16 : 420,816.96 = 257,409.66 : x
  2. Step 2: Convert to fraction form
    305,240.16/420,816.96 = 257,409.66/x
  3. Step 3: Cross multiply
    305,240.16x = 420,816.96 × 257,409.66
  4. Step 4: Simplify right side
    305,240.16x = 108,322,350,595.83
  5. Step 5: Solve for x
    x = 108,322,350,595.83/305,240.16
  6. Step 6: Final answer
    x = 354,875.82

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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.