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Finding the Fourth Proportional to 291,693.60, 409,615.20 and 291,693.60

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Solution

The fourth proportional to 291,693.60, 409,615.20 and 291,693.60 is: 409,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,693.60 : 409,615.20 = 291,693.60 : x
  2. Step 2: Convert to fraction form
    291,693.60/409,615.20 = 291,693.60/x
  3. Step 3: Cross multiply
    291,693.60x = 409,615.20 × 291,693.60
  4. Step 4: Simplify right side
    291,693.60x = 119,482,132,302.72
  5. Step 5: Solve for x
    x = 119,482,132,302.72/291,693.60
  6. Step 6: Final answer
    x = 409,615.20

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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.