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Finding the Fourth Proportional to 518,810.05, 715,849 and 314,968.29

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Solution

The fourth proportional to 518,810.05, 715,849 and 314,968.29 is: 434,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,810.05 : 715,849 = 314,968.29 : x
  2. Step 2: Convert to fraction form
    518,810.05/715,849 = 314,968.29/x
  3. Step 3: Cross multiply
    518,810.05x = 715,849 × 314,968.29
  4. Step 4: Simplify right side
    518,810.05x = 225,469,735,428.21
  5. Step 5: Solve for x
    x = 225,469,735,428.21/518,810.05
  6. Step 6: Final answer
    x = 434,590.15

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1.5x scale

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.