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Finding the Fourth Proportional to 319,458.20, 478,784.10 and 161,730.20

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Solution

The fourth proportional to 319,458.20, 478,784.10 and 161,730.20 is: 242,391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,458.20 : 478,784.10 = 161,730.20 : x
  2. Step 2: Convert to fraction form
    319,458.20/478,784.10 = 161,730.20/x
  3. Step 3: Cross multiply
    319,458.20x = 478,784.10 × 161,730.20
  4. Step 4: Simplify right side
    319,458.20x = 77,433,848,249.82
  5. Step 5: Solve for x
    x = 77,433,848,249.82/319,458.20
  6. Step 6: Final answer
    x = 242,391.17

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1.5x scale

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.