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Finding the Fourth Proportional to 509,814.23, 703,561.70 and 280,389.26

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Solution

The fourth proportional to 509,814.23, 703,561.70 and 280,389.26 is: 386,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,814.23 : 703,561.70 = 280,389.26 : x
  2. Step 2: Convert to fraction form
    509,814.23/703,561.70 = 280,389.26/x
  3. Step 3: Cross multiply
    509,814.23x = 703,561.70 × 280,389.26
  4. Step 4: Simplify right side
    509,814.23x = 197,271,139,507.59
  5. Step 5: Solve for x
    x = 197,271,139,507.59/509,814.23
  6. Step 6: Final answer
    x = 386,947.11

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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.