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Finding the Fourth Proportional to 375,345.72, 518,014.35 and 214,225.11

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Solution

The fourth proportional to 375,345.72, 518,014.35 and 214,225.11 is: 295,651.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,345.72 : 518,014.35 = 214,225.11 : x
  2. Step 2: Convert to fraction form
    375,345.72/518,014.35 = 214,225.11/x
  3. Step 3: Cross multiply
    375,345.72x = 518,014.35 × 214,225.11
  4. Step 4: Simplify right side
    375,345.72x = 110,971,681,110.33
  5. Step 5: Solve for x
    x = 110,971,681,110.33/375,345.72
  6. Step 6: Final answer
    x = 295,651.92

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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.