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Finding the Fourth Proportional to 742,758, 1,025,006.76 and 403,226.16

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Solution

The fourth proportional to 742,758, 1,025,006.76 and 403,226.16 is: 556,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,758 : 1,025,006.76 = 403,226.16 : x
  2. Step 2: Convert to fraction form
    742,758/1,025,006.76 = 403,226.16/x
  3. Step 3: Cross multiply
    742,758x = 1,025,006.76 × 403,226.16
  4. Step 4: Simplify right side
    742,758x = 413,309,539,808.84
  5. Step 5: Solve for x
    x = 413,309,539,808.84/742,758
  6. Step 6: Final answer
    x = 556,452.49

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1.5x scale

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.