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Finding the Fourth Proportional to 280,029.42, 418,258.62 and 253,334.16

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Solution

The fourth proportional to 280,029.42, 418,258.62 and 253,334.16 is: 378,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,029.42 : 418,258.62 = 253,334.16 : x
  2. Step 2: Convert to fraction form
    280,029.42/418,258.62 = 253,334.16/x
  3. Step 3: Cross multiply
    280,029.42x = 418,258.62 × 253,334.16
  4. Step 4: Simplify right side
    280,029.42x = 105,959,196,160.46
  5. Step 5: Solve for x
    x = 105,959,196,160.46/280,029.42
  6. Step 6: Final answer
    x = 378,385.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.