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Finding the Fourth Proportional to 742,665, 1,024,879.50 and 403,133.16

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Solution

The fourth proportional to 742,665, 1,024,879.50 and 403,133.16 is: 556,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,665 : 1,024,879.50 = 403,133.16 : x
  2. Step 2: Convert to fraction form
    742,665/1,024,879.50 = 403,133.16/x
  3. Step 3: Cross multiply
    742,665x = 1,024,879.50 × 403,133.16
  4. Step 4: Simplify right side
    742,665x = 413,162,911,454.22
  5. Step 5: Solve for x
    x = 413,162,911,454.22/742,665
  6. Step 6: Final answer
    x = 556,324.74

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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.