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Finding the Fourth Proportional to 478,978.14, 660,975.67 and 264,118.14

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Solution

The fourth proportional to 478,978.14, 660,975.67 and 264,118.14 is: 364,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,978.14 : 660,975.67 = 264,118.14 : x
  2. Step 2: Convert to fraction form
    478,978.14/660,975.67 = 264,118.14/x
  3. Step 3: Cross multiply
    478,978.14x = 660,975.67 × 264,118.14
  4. Step 4: Simplify right side
    478,978.14x = 174,575,664,545.65
  5. Step 5: Solve for x
    x = 174,575,664,545.65/478,978.14
  6. Step 6: Final answer
    x = 364,475.22

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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.