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Finding the Fourth Proportional to 557,699, 769,562.16 and 315,929.80

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Solution

The fourth proportional to 557,699, 769,562.16 and 315,929.80 is: 435,947.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,699 : 769,562.16 = 315,929.80 : x
  2. Step 2: Convert to fraction form
    557,699/769,562.16 = 315,929.80/x
  3. Step 3: Cross multiply
    557,699x = 769,562.16 × 315,929.80
  4. Step 4: Simplify right side
    557,699x = 243,127,619,296.37
  5. Step 5: Solve for x
    x = 243,127,619,296.37/557,699
  6. Step 6: Final answer
    x = 435,947.74

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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.