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Finding the Fourth Proportional to 509,903.14, 703,667.74 and 280,483.93

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Solution

The fourth proportional to 509,903.14, 703,667.74 and 280,483.93 is: 387,068.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,903.14 : 703,667.74 = 280,483.93 : x
  2. Step 2: Convert to fraction form
    509,903.14/703,667.74 = 280,483.93/x
  3. Step 3: Cross multiply
    509,903.14x = 703,667.74 × 280,483.93
  4. Step 4: Simplify right side
    509,903.14x = 197,367,490,669.04
  5. Step 5: Solve for x
    x = 197,367,490,669.04/509,903.14
  6. Step 6: Final answer
    x = 387,068.59

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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.