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Finding the Fourth Proportional to 319,336.60, 478,977.90 and 97,720.60

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Solution

The fourth proportional to 319,336.60, 478,977.90 and 97,720.60 is: 146,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,336.60 : 478,977.90 = 97,720.60 : x
  2. Step 2: Convert to fraction form
    319,336.60/478,977.90 = 97,720.60/x
  3. Step 3: Cross multiply
    319,336.60x = 478,977.90 × 97,720.60
  4. Step 4: Simplify right side
    319,336.60x = 46,806,007,774.74
  5. Step 5: Solve for x
    x = 46,806,007,774.74/319,336.60
  6. Step 6: Final answer
    x = 146,572.64

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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.