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Finding the Fourth Proportional to 520,700, 718,566 and 282,236

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Solution

The fourth proportional to 520,700, 718,566 and 282,236 is: 389,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,700 : 718,566 = 282,236 : x
  2. Step 2: Convert to fraction form
    520,700/718,566 = 282,236/x
  3. Step 3: Cross multiply
    520,700x = 718,566 × 282,236
  4. Step 4: Simplify right side
    520,700x = 202,805,193,576
  5. Step 5: Solve for x
    x = 202,805,193,576/520,700
  6. Step 6: Final answer
    x = 389,485.68

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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.