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Finding the Fourth Proportional to 688,057.60, 949,840.64 and 458,996.48

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Solution

The fourth proportional to 688,057.60, 949,840.64 and 458,996.48 is: 633,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,057.60 : 949,840.64 = 458,996.48 : x
  2. Step 2: Convert to fraction form
    688,057.60/949,840.64 = 458,996.48/x
  3. Step 3: Cross multiply
    688,057.60x = 949,840.64 × 458,996.48
  4. Step 4: Simplify right side
    688,057.60x = 435,973,510,320.95
  5. Step 5: Solve for x
    x = 435,973,510,320.95/688,057.60
  6. Step 6: Final answer
    x = 633,629.38

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Double scale
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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.