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Finding the Fourth Proportional to 509,637.98, 703,300.86 and 280,199.18

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Solution

The fourth proportional to 509,637.98, 703,300.86 and 280,199.18 is: 386,675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,637.98 : 703,300.86 = 280,199.18 : x
  2. Step 2: Convert to fraction form
    509,637.98/703,300.86 = 280,199.18/x
  3. Step 3: Cross multiply
    509,637.98x = 703,300.86 × 280,199.18
  4. Step 4: Simplify right side
    509,637.98x = 197,064,320,748.79
  5. Step 5: Solve for x
    x = 197,064,320,748.79/509,637.98
  6. Step 6: Final answer
    x = 386,675.11

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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.