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Finding the Fourth Proportional to 319,875.78, 479,528.55 and 162,022.98

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Solution

The fourth proportional to 319,875.78, 479,528.55 and 162,022.98 is: 242,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,875.78 : 479,528.55 = 162,022.98 : x
  2. Step 2: Convert to fraction form
    319,875.78/479,528.55 = 162,022.98/x
  3. Step 3: Cross multiply
    319,875.78x = 479,528.55 × 162,022.98
  4. Step 4: Simplify right side
    319,875.78x = 77,694,644,666.08
  5. Step 5: Solve for x
    x = 77,694,644,666.08/319,875.78
  6. Step 6: Final answer
    x = 242,890.05

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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.