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Finding the Fourth Proportional to 291,478.64, 402,229.91 and 162,410.45

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Solution

The fourth proportional to 291,478.64, 402,229.91 and 162,410.45 is: 224,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,478.64 : 402,229.91 = 162,410.45 : x
  2. Step 2: Convert to fraction form
    291,478.64/402,229.91 = 162,410.45/x
  3. Step 3: Cross multiply
    291,478.64x = 402,229.91 × 162,410.45
  4. Step 4: Simplify right side
    291,478.64x = 65,326,337,863.36
  5. Step 5: Solve for x
    x = 65,326,337,863.36/291,478.64
  6. Step 6: Final answer
    x = 224,120.50

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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.