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Finding the Fourth Proportional to 561,213.66, 774,462.26 and 306,565.86

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Solution

The fourth proportional to 561,213.66, 774,462.26 and 306,565.86 is: 423,054.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,213.66 : 774,462.26 = 306,565.86 : x
  2. Step 2: Convert to fraction form
    561,213.66/774,462.26 = 306,565.86/x
  3. Step 3: Cross multiply
    561,213.66x = 774,462.26 × 306,565.86
  4. Step 4: Simplify right side
    561,213.66x = 237,423,688,774.44
  5. Step 5: Solve for x
    x = 237,423,688,774.44/561,213.66
  6. Step 6: Final answer
    x = 423,054.01

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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.