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Finding the Fourth Proportional to 374,490.50, 516,795.86 and 213,345.86

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Solution

The fourth proportional to 374,490.50, 516,795.86 and 213,345.86 is: 294,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,490.50 : 516,795.86 = 213,345.86 : x
  2. Step 2: Convert to fraction form
    374,490.50/516,795.86 = 213,345.86/x
  3. Step 3: Cross multiply
    374,490.50x = 516,795.86 × 213,345.86
  4. Step 4: Simplify right side
    374,490.50x = 110,256,255,145.53
  5. Step 5: Solve for x
    x = 110,256,255,145.53/374,490.50
  6. Step 6: Final answer
    x = 294,416.70

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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.