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Finding the Fourth Proportional to 539,276.16, 744,245.74 and 309,878.00

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Solution

The fourth proportional to 539,276.16, 744,245.74 and 309,878.00 is: 427,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,276.16 : 744,245.74 = 309,878.00 : x
  2. Step 2: Convert to fraction form
    539,276.16/744,245.74 = 309,878.00/x
  3. Step 3: Cross multiply
    539,276.16x = 744,245.74 × 309,878.00
  4. Step 4: Simplify right side
    539,276.16x = 230,625,385,934.68
  5. Step 5: Solve for x
    x = 230,625,385,934.68/539,276.16
  6. Step 6: Final answer
    x = 427,657.30

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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.