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Finding the Fourth Proportional to 542,222.51, 748,275.27 and 297,205.40

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Solution

The fourth proportional to 542,222.51, 748,275.27 and 297,205.40 is: 410,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,222.51 : 748,275.27 = 297,205.40 : x
  2. Step 2: Convert to fraction form
    542,222.51/748,275.27 = 297,205.40/x
  3. Step 3: Cross multiply
    542,222.51x = 748,275.27 × 297,205.40
  4. Step 4: Simplify right side
    542,222.51x = 222,391,451,686.63
  5. Step 5: Solve for x
    x = 222,391,451,686.63/542,222.51
  6. Step 6: Final answer
    x = 410,147.96

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Double scale
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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.