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Finding the Fourth Proportional to 557,270.87, 769,041.50 and 315,548.24

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Solution

The fourth proportional to 557,270.87, 769,041.50 and 315,548.24 is: 435,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,270.87 : 769,041.50 = 315,548.24 : x
  2. Step 2: Convert to fraction form
    557,270.87/769,041.50 = 315,548.24/x
  3. Step 3: Cross multiply
    557,270.87x = 769,041.50 × 315,548.24
  4. Step 4: Simplify right side
    557,270.87x = 242,669,686,389.01
  5. Step 5: Solve for x
    x = 242,669,686,389.01/557,270.87
  6. Step 6: Final answer
    x = 435,460.93

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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.