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Finding the Fourth Proportional to 509,710.17, 703,415.34 and 280,255.60

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Solution

The fourth proportional to 509,710.17, 703,415.34 and 280,255.60 is: 386,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,710.17 : 703,415.34 = 280,255.60 : x
  2. Step 2: Convert to fraction form
    509,710.17/703,415.34 = 280,255.60/x
  3. Step 3: Cross multiply
    509,710.17x = 703,415.34 × 280,255.60
  4. Step 4: Simplify right side
    509,710.17x = 197,136,085,083.46
  5. Step 5: Solve for x
    x = 197,136,085,083.46/509,710.17
  6. Step 6: Final answer
    x = 386,761.14

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1.5x scale

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.