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Finding the Fourth Proportional to 478,288.75, 660,085.05 and 357,219.82

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Solution

The fourth proportional to 478,288.75, 660,085.05 and 357,219.82 is: 492,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,288.75 : 660,085.05 = 357,219.82 : x
  2. Step 2: Convert to fraction form
    478,288.75/660,085.05 = 357,219.82/x
  3. Step 3: Cross multiply
    478,288.75x = 660,085.05 × 357,219.82
  4. Step 4: Simplify right side
    478,288.75x = 235,795,462,745.69
  5. Step 5: Solve for x
    x = 235,795,462,745.69/478,288.75
  6. Step 6: Final answer
    x = 492,998.14

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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.