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Finding the Fourth Proportional to 442,288.80, 610,328.16 and 248,700.96

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Solution

The fourth proportional to 442,288.80, 610,328.16 and 248,700.96 is: 343,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,288.80 : 610,328.16 = 248,700.96 : x
  2. Step 2: Convert to fraction form
    442,288.80/610,328.16 = 248,700.96/x
  3. Step 3: Cross multiply
    442,288.80x = 610,328.16 × 248,700.96
  4. Step 4: Simplify right side
    442,288.80x = 151,789,199,307.03
  5. Step 5: Solve for x
    x = 151,789,199,307.03/442,288.80
  6. Step 6: Final answer
    x = 343,190.24

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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.