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Finding the Fourth Proportional to 343,200.78, 473,648.31 and 207,302.22

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Solution

The fourth proportional to 343,200.78, 473,648.31 and 207,302.22 is: 286,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,200.78 : 473,648.31 = 207,302.22 : x
  2. Step 2: Convert to fraction form
    343,200.78/473,648.31 = 207,302.22/x
  3. Step 3: Cross multiply
    343,200.78x = 473,648.31 × 207,302.22
  4. Step 4: Simplify right side
    343,200.78x = 98,188,346,162.25
  5. Step 5: Solve for x
    x = 98,188,346,162.25/343,200.78
  6. Step 6: Final answer
    x = 286,095.93

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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.