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Finding the Fourth Proportional to 277,678.34, 416,533.65 and 78,014.29

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Solution

The fourth proportional to 277,678.34, 416,533.65 and 78,014.29 is: 117,025.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,678.34 : 416,533.65 = 78,014.29 : x
  2. Step 2: Convert to fraction form
    277,678.34/416,533.65 = 78,014.29/x
  3. Step 3: Cross multiply
    277,678.34x = 416,533.65 × 78,014.29
  4. Step 4: Simplify right side
    277,678.34x = 32,495,575,924.52
  5. Step 5: Solve for x
    x = 32,495,575,924.52/277,678.34
  6. Step 6: Final answer
    x = 117,025.97

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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.