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Finding the Fourth Proportional to 440,616, 608,051.76 and 239,412

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Solution

The fourth proportional to 440,616, 608,051.76 and 239,412 is: 330,389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,616 : 608,051.76 = 239,412 : x
  2. Step 2: Convert to fraction form
    440,616/608,051.76 = 239,412/x
  3. Step 3: Cross multiply
    440,616x = 608,051.76 × 239,412
  4. Step 4: Simplify right side
    440,616x = 145,574,887,965.12
  5. Step 5: Solve for x
    x = 145,574,887,965.12/440,616
  6. Step 6: Final answer
    x = 330,389.47

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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.