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Finding the Fourth Proportional to 506,956.53, 699,600.63 and 315,969.75

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Solution

The fourth proportional to 506,956.53, 699,600.63 and 315,969.75 is: 436,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,956.53 : 699,600.63 = 315,969.75 : x
  2. Step 2: Convert to fraction form
    506,956.53/699,600.63 = 315,969.75/x
  3. Step 3: Cross multiply
    506,956.53x = 699,600.63 × 315,969.75
  4. Step 4: Simplify right side
    506,956.53x = 221,052,636,160.94
  5. Step 5: Solve for x
    x = 221,052,636,160.94/506,956.53
  6. Step 6: Final answer
    x = 436,038.64

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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.