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Finding the Fourth Proportional to 509,533.86, 703,165.47 and 280,100.81

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Solution

The fourth proportional to 509,533.86, 703,165.47 and 280,100.81 is: 386,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,533.86 : 703,165.47 = 280,100.81 : x
  2. Step 2: Convert to fraction form
    509,533.86/703,165.47 = 280,100.81/x
  3. Step 3: Cross multiply
    509,533.86x = 703,165.47 × 280,100.81
  4. Step 4: Simplify right side
    509,533.86x = 196,957,219,801.29
  5. Step 5: Solve for x
    x = 196,957,219,801.29/509,533.86
  6. Step 6: Final answer
    x = 386,543.93

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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.