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Finding the Fourth Proportional to 457,165.60, 638,457.20 and 457,165.60

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Solution

The fourth proportional to 457,165.60, 638,457.20 and 457,165.60 is: 638,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,165.60 : 638,457.20 = 457,165.60 : x
  2. Step 2: Convert to fraction form
    457,165.60/638,457.20 = 457,165.60/x
  3. Step 3: Cross multiply
    457,165.60x = 638,457.20 × 457,165.60
  4. Step 4: Simplify right side
    457,165.60x = 291,880,668,912.32
  5. Step 5: Solve for x
    x = 291,880,668,912.32/457,165.60
  6. Step 6: Final answer
    x = 638,457.20

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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.