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Finding the Fourth Proportional to 506,917.84, 699,499.02 and 302,928.16

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Solution

The fourth proportional to 506,917.84, 699,499.02 and 302,928.16 is: 418,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,917.84 : 699,499.02 = 302,928.16 : x
  2. Step 2: Convert to fraction form
    506,917.84/699,499.02 = 302,928.16/x
  3. Step 3: Cross multiply
    506,917.84x = 699,499.02 × 302,928.16
  4. Step 4: Simplify right side
    506,917.84x = 211,897,951,050.40
  5. Step 5: Solve for x
    x = 211,897,951,050.40/506,917.84
  6. Step 6: Final answer
    x = 418,012.42

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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.