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Finding the Fourth Proportional to 457,242.80, 684,957 and 304,971.44

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Solution

The fourth proportional to 457,242.80, 684,957 and 304,971.44 is: 456,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,242.80 : 684,957 = 304,971.44 : x
  2. Step 2: Convert to fraction form
    457,242.80/684,957 = 304,971.44/x
  3. Step 3: Cross multiply
    457,242.80x = 684,957 × 304,971.44
  4. Step 4: Simplify right side
    457,242.80x = 208,892,322,628.08
  5. Step 5: Solve for x
    x = 208,892,322,628.08/457,242.80
  6. Step 6: Final answer
    x = 456,852.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.