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Finding the Fourth Proportional to 557,472.30, 780,986.10 and 557,472.30

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Solution

The fourth proportional to 557,472.30, 780,986.10 and 557,472.30 is: 780,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,472.30 : 780,986.10 = 557,472.30 : x
  2. Step 2: Convert to fraction form
    557,472.30/780,986.10 = 557,472.30/x
  3. Step 3: Cross multiply
    557,472.30x = 780,986.10 × 557,472.30
  4. Step 4: Simplify right side
    557,472.30x = 435,378,117,435.03
  5. Step 5: Solve for x
    x = 435,378,117,435.03/557,472.30
  6. Step 6: Final answer
    x = 780,986.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.