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Finding the Fourth Proportional to 407,978.07, 611,966.98 and 127,495.32

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Solution

The fourth proportional to 407,978.07, 611,966.98 and 127,495.32 is: 191,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,978.07 : 611,966.98 = 127,495.32 : x
  2. Step 2: Convert to fraction form
    407,978.07/611,966.98 = 127,495.32/x
  3. Step 3: Cross multiply
    407,978.07x = 611,966.98 × 127,495.32
  4. Step 4: Simplify right side
    407,978.07x = 78,022,925,944.53
  5. Step 5: Solve for x
    x = 78,022,925,944.53/407,978.07
  6. Step 6: Final answer
    x = 191,242.94

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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.