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Finding the Fourth Proportional to 542,109.78, 748,739.16 and 360,506.70

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Solution

The fourth proportional to 542,109.78, 748,739.16 and 360,506.70 is: 497,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,109.78 : 748,739.16 = 360,506.70 : x
  2. Step 2: Convert to fraction form
    542,109.78/748,739.16 = 360,506.70/x
  3. Step 3: Cross multiply
    542,109.78x = 748,739.16 × 360,506.70
  4. Step 4: Simplify right side
    542,109.78x = 269,925,483,732.37
  5. Step 5: Solve for x
    x = 269,925,483,732.37/542,109.78
  6. Step 6: Final answer
    x = 497,916.65

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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.