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Finding the Fourth Proportional to 357,729.06, 493,460.54 and 223,359.78

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Solution

The fourth proportional to 357,729.06, 493,460.54 and 223,359.78 is: 308,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,729.06 : 493,460.54 = 223,359.78 : x
  2. Step 2: Convert to fraction form
    357,729.06/493,460.54 = 223,359.78/x
  3. Step 3: Cross multiply
    357,729.06x = 493,460.54 × 223,359.78
  4. Step 4: Simplify right side
    357,729.06x = 110,219,237,653.08
  5. Step 5: Solve for x
    x = 110,219,237,653.08/357,729.06
  6. Step 6: Final answer
    x = 308,108.15

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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.