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Finding the Fourth Proportional to 557,687.96, 769,606.72 and 315,970.08

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Solution

The fourth proportional to 557,687.96, 769,606.72 and 315,970.08 is: 436,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,687.96 : 769,606.72 = 315,970.08 : x
  2. Step 2: Convert to fraction form
    557,687.96/769,606.72 = 315,970.08/x
  3. Step 3: Cross multiply
    557,687.96x = 769,606.72 × 315,970.08
  4. Step 4: Simplify right side
    557,687.96x = 243,172,696,886.94
  5. Step 5: Solve for x
    x = 243,172,696,886.94/557,687.96
  6. Step 6: Final answer
    x = 436,037.20

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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.