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Finding the Fourth Proportional to 742,992.75, 1,025,342.75 and 403,461

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Solution

The fourth proportional to 742,992.75, 1,025,342.75 and 403,461 is: 556,783.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,992.75 : 1,025,342.75 = 403,461 : x
  2. Step 2: Convert to fraction form
    742,992.75/1,025,342.75 = 403,461/x
  3. Step 3: Cross multiply
    742,992.75x = 1,025,342.75 × 403,461
  4. Step 4: Simplify right side
    742,992.75x = 413,685,812,266.40
  5. Step 5: Solve for x
    x = 413,685,812,266.40/742,992.75
  6. Step 6: Final answer
    x = 556,783.11

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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.