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Finding the Fourth Proportional to 509,877.06, 703,647.39 and 280,444.02

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Solution

The fourth proportional to 509,877.06, 703,647.39 and 280,444.02 is: 387,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,877.06 : 703,647.39 = 280,444.02 : x
  2. Step 2: Convert to fraction form
    509,877.06/703,647.39 = 280,444.02/x
  3. Step 3: Cross multiply
    509,877.06x = 703,647.39 × 280,444.02
  4. Step 4: Simplify right side
    509,877.06x = 197,333,702,714.11
  5. Step 5: Solve for x
    x = 197,333,702,714.11/509,877.06
  6. Step 6: Final answer
    x = 387,022.12

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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.