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Finding the Fourth Proportional to 519,080.64, 716,333.28 and 289,647.60

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Solution

The fourth proportional to 519,080.64, 716,333.28 and 289,647.60 is: 399,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,080.64 : 716,333.28 = 289,647.60 : x
  2. Step 2: Convert to fraction form
    519,080.64/716,333.28 = 289,647.60/x
  3. Step 3: Cross multiply
    519,080.64x = 716,333.28 × 289,647.60
  4. Step 4: Simplify right side
    519,080.64x = 207,484,215,352.13
  5. Step 5: Solve for x
    x = 207,484,215,352.13/519,080.64
  6. Step 6: Final answer
    x = 399,714.80

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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.