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Finding the Fourth Proportional to 518,720.95, 715,820.65 and 289,285.21

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Solution

The fourth proportional to 518,720.95, 715,820.65 and 289,285.21 is: 399,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,720.95 : 715,820.65 = 289,285.21 : x
  2. Step 2: Convert to fraction form
    518,720.95/715,820.65 = 289,285.21/x
  3. Step 3: Cross multiply
    518,720.95x = 715,820.65 × 289,285.21
  4. Step 4: Simplify right side
    518,720.95x = 207,076,327,057.59
  5. Step 5: Solve for x
    x = 207,076,327,057.59/518,720.95
  6. Step 6: Final answer
    x = 399,205.64

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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.