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Finding the Fourth Proportional to 509,689.29, 703,389.27 and 280,264.05

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Solution

The fourth proportional to 509,689.29, 703,389.27 and 280,264.05 is: 386,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,689.29 : 703,389.27 = 280,264.05 : x
  2. Step 2: Convert to fraction form
    509,689.29/703,389.27 = 280,264.05/x
  3. Step 3: Cross multiply
    509,689.29x = 703,389.27 × 280,264.05
  4. Step 4: Simplify right side
    509,689.29x = 197,134,725,536.74
  5. Step 5: Solve for x
    x = 197,134,725,536.74/509,689.29
  6. Step 6: Final answer
    x = 386,774.31

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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.