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Finding the Fourth Proportional to 509,728.28, 703,443.06 and 280,302.98

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Solution

The fourth proportional to 509,728.28, 703,443.06 and 280,302.98 is: 386,828.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,728.28 : 703,443.06 = 280,302.98 : x
  2. Step 2: Convert to fraction form
    509,728.28/703,443.06 = 280,302.98/x
  3. Step 3: Cross multiply
    509,728.28x = 703,443.06 × 280,302.98
  4. Step 4: Simplify right side
    509,728.28x = 197,177,182,461.10
  5. Step 5: Solve for x
    x = 197,177,182,461.10/509,728.28
  6. Step 6: Final answer
    x = 386,828.03

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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.