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Finding the Fourth Proportional to 557,362.20, 769,134.09 and 315,646.50

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Solution

The fourth proportional to 557,362.20, 769,134.09 and 315,646.50 is: 435,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,362.20 : 769,134.09 = 315,646.50 : x
  2. Step 2: Convert to fraction form
    557,362.20/769,134.09 = 315,646.50/x
  3. Step 3: Cross multiply
    557,362.20x = 769,134.09 × 315,646.50
  4. Step 4: Simplify right side
    557,362.20x = 242,774,484,431.16
  5. Step 5: Solve for x
    x = 242,774,484,431.16/557,362.20
  6. Step 6: Final answer
    x = 435,577.59

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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.