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Finding the Fourth Proportional to 509,752.32, 703,503.03 and 280,350.03

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Solution

The fourth proportional to 509,752.32, 703,503.03 and 280,350.03 is: 386,907.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,752.32 : 703,503.03 = 280,350.03 : x
  2. Step 2: Convert to fraction form
    509,752.32/703,503.03 = 280,350.03/x
  3. Step 3: Cross multiply
    509,752.32x = 703,503.03 × 280,350.03
  4. Step 4: Simplify right side
    509,752.32x = 197,227,092,048.08
  5. Step 5: Solve for x
    x = 197,227,092,048.08/509,752.32
  6. Step 6: Final answer
    x = 386,907.69

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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.