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Finding the Fourth Proportional to 442,064, 610,048.32 and 240,860

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Solution

The fourth proportional to 442,064, 610,048.32 and 240,860 is: 332,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,064 : 610,048.32 = 240,860 : x
  2. Step 2: Convert to fraction form
    442,064/610,048.32 = 240,860/x
  3. Step 3: Cross multiply
    442,064x = 610,048.32 × 240,860
  4. Step 4: Simplify right side
    442,064x = 146,936,238,355.20
  5. Step 5: Solve for x
    x = 146,936,238,355.20/442,064
  6. Step 6: Final answer
    x = 332,386.80

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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.