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Finding the Fourth Proportional to 742,751, 1,025,008.80 and 403,219.24

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Solution

The fourth proportional to 742,751, 1,025,008.80 and 403,219.24 is: 556,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,751 : 1,025,008.80 = 403,219.24 : x
  2. Step 2: Convert to fraction form
    742,751/1,025,008.80 = 403,219.24/x
  3. Step 3: Cross multiply
    742,751x = 1,025,008.80 × 403,219.24
  4. Step 4: Simplify right side
    742,751x = 413,303,269,329.31
  5. Step 5: Solve for x
    x = 413,303,269,329.31/742,751
  6. Step 6: Final answer
    x = 556,449.29

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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.