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Finding the Fourth Proportional to 542,975.49, 749,291.85 and 297,959.49

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Solution

The fourth proportional to 542,975.49, 749,291.85 and 297,959.49 is: 411,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,975.49 : 749,291.85 = 297,959.49 : x
  2. Step 2: Convert to fraction form
    542,975.49/749,291.85 = 297,959.49/x
  3. Step 3: Cross multiply
    542,975.49x = 749,291.85 × 297,959.49
  4. Step 4: Simplify right side
    542,975.49x = 223,258,617,487.16
  5. Step 5: Solve for x
    x = 223,258,617,487.16/542,975.49
  6. Step 6: Final answer
    x = 411,176.23

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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.