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Finding the Fourth Proportional to 319,665.63, 479,117.13 and 148,656.50

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Solution

The fourth proportional to 319,665.63, 479,117.13 and 148,656.50 is: 222,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,665.63 : 479,117.13 = 148,656.50 : x
  2. Step 2: Convert to fraction form
    319,665.63/479,117.13 = 148,656.50/x
  3. Step 3: Cross multiply
    319,665.63x = 479,117.13 × 148,656.50
  4. Step 4: Simplify right side
    319,665.63x = 71,223,875,635.85
  5. Step 5: Solve for x
    x = 71,223,875,635.85/319,665.63
  6. Step 6: Final answer
    x = 222,807.42

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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.