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Finding the Fourth Proportional to 519,851.22, 717,095.25 and 312,975.60

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Solution

The fourth proportional to 519,851.22, 717,095.25 and 312,975.60 is: 431,726.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,851.22 : 717,095.25 = 312,975.60 : x
  2. Step 2: Convert to fraction form
    519,851.22/717,095.25 = 312,975.60/x
  3. Step 3: Cross multiply
    519,851.22x = 717,095.25 × 312,975.60
  4. Step 4: Simplify right side
    519,851.22x = 224,433,316,125.90
  5. Step 5: Solve for x
    x = 224,433,316,125.90/519,851.22
  6. Step 6: Final answer
    x = 431,726.05

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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.