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Finding the Fourth Proportional to 357,730.06, 493,461.92 and 223,360.78

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Solution

The fourth proportional to 357,730.06, 493,461.92 and 223,360.78 is: 308,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,730.06 : 493,461.92 = 223,360.78 : x
  2. Step 2: Convert to fraction form
    357,730.06/493,461.92 = 223,360.78/x
  3. Step 3: Cross multiply
    357,730.06x = 493,461.92 × 223,360.78
  4. Step 4: Simplify right side
    357,730.06x = 110,220,039,351.50
  5. Step 5: Solve for x
    x = 110,220,039,351.50/357,730.06
  6. Step 6: Final answer
    x = 308,109.53

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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.