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Finding the Fourth Proportional to 319,214.76, 478,653.60 and 141,644.40

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Solution

The fourth proportional to 319,214.76, 478,653.60 and 141,644.40 is: 212,391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,214.76 : 478,653.60 = 141,644.40 : x
  2. Step 2: Convert to fraction form
    319,214.76/478,653.60 = 141,644.40/x
  3. Step 3: Cross multiply
    319,214.76x = 478,653.60 × 141,644.40
  4. Step 4: Simplify right side
    319,214.76x = 67,798,601,979.84
  5. Step 5: Solve for x
    x = 67,798,601,979.84/319,214.76
  6. Step 6: Final answer
    x = 212,391.81

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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.