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Finding the Fourth Proportional to 357,811.80, 493,827 and 230,856.72

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Solution

The fourth proportional to 357,811.80, 493,827 and 230,856.72 is: 318,612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,811.80 : 493,827 = 230,856.72 : x
  2. Step 2: Convert to fraction form
    357,811.80/493,827 = 230,856.72/x
  3. Step 3: Cross multiply
    357,811.80x = 493,827 × 230,856.72
  4. Step 4: Simplify right side
    357,811.80x = 114,003,281,467.44
  5. Step 5: Solve for x
    x = 114,003,281,467.44/357,811.80
  6. Step 6: Final answer
    x = 318,612.41

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1.5x scale

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.