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Finding the Fourth Proportional to 564,277.60, 778,671.84 and 309,608.56

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Solution

The fourth proportional to 564,277.60, 778,671.84 and 309,608.56 is: 427,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,277.60 : 778,671.84 = 309,608.56 : x
  2. Step 2: Convert to fraction form
    564,277.60/778,671.84 = 309,608.56/x
  3. Step 3: Cross multiply
    564,277.60x = 778,671.84 × 309,608.56
  4. Step 4: Simplify right side
    564,277.60x = 241,083,467,094.95
  5. Step 5: Solve for x
    x = 241,083,467,094.95/564,277.60
  6. Step 6: Final answer
    x = 427,242.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.