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Finding the Fourth Proportional to 512,642.88, 767,782.80 and 354,983.04

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Solution

The fourth proportional to 512,642.88, 767,782.80 and 354,983.04 is: 531,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,642.88 : 767,782.80 = 354,983.04 : x
  2. Step 2: Convert to fraction form
    512,642.88/767,782.80 = 354,983.04/x
  3. Step 3: Cross multiply
    512,642.88x = 767,782.80 × 354,983.04
  4. Step 4: Simplify right side
    512,642.88x = 272,549,872,403.71
  5. Step 5: Solve for x
    x = 272,549,872,403.71/512,642.88
  6. Step 6: Final answer
    x = 531,656.41

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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.