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Finding the Fourth Proportional to 305,483.20, 458,224.80 and 266,117.20

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Solution

The fourth proportional to 305,483.20, 458,224.80 and 266,117.20 is: 399,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,483.20 : 458,224.80 = 266,117.20 : x
  2. Step 2: Convert to fraction form
    305,483.20/458,224.80 = 266,117.20/x
  3. Step 3: Cross multiply
    305,483.20x = 458,224.80 × 266,117.20
  4. Step 4: Simplify right side
    305,483.20x = 121,941,500,746.56
  5. Step 5: Solve for x
    x = 121,941,500,746.56/305,483.20
  6. Step 6: Final answer
    x = 399,175.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.