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Finding the Fourth Proportional to 291,651.20, 409,417.60 and 291,651.20

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Solution

The fourth proportional to 291,651.20, 409,417.60 and 291,651.20 is: 409,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,651.20 : 409,417.60 = 291,651.20 : x
  2. Step 2: Convert to fraction form
    291,651.20/409,417.60 = 291,651.20/x
  3. Step 3: Cross multiply
    291,651.20x = 409,417.60 × 291,651.20
  4. Step 4: Simplify right side
    291,651.20x = 119,407,134,341.12
  5. Step 5: Solve for x
    x = 119,407,134,341.12/291,651.20
  6. Step 6: Final answer
    x = 409,417.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.