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Finding the Fourth Proportional to 649,297.20, 974,237.40 and 294,128.40

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Solution

The fourth proportional to 649,297.20, 974,237.40 and 294,128.40 is: 441,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,297.20 : 974,237.40 = 294,128.40 : x
  2. Step 2: Convert to fraction form
    649,297.20/974,237.40 = 294,128.40/x
  3. Step 3: Cross multiply
    649,297.20x = 974,237.40 × 294,128.40
  4. Step 4: Simplify right side
    649,297.20x = 286,550,887,682.16
  5. Step 5: Solve for x
    x = 286,550,887,682.16/649,297.20
  6. Step 6: Final answer
    x = 441,324.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.