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Finding the Fourth Proportional to 486,090.10, 729,135.15 and 458,533.90

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Solution

The fourth proportional to 486,090.10, 729,135.15 and 458,533.90 is: 687,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,090.10 : 729,135.15 = 458,533.90 : x
  2. Step 2: Convert to fraction form
    486,090.10/729,135.15 = 458,533.90/x
  3. Step 3: Cross multiply
    486,090.10x = 729,135.15 × 458,533.90
  4. Step 4: Simplify right side
    486,090.10x = 334,333,183,956.59
  5. Step 5: Solve for x
    x = 334,333,183,956.59/486,090.10
  6. Step 6: Final answer
    x = 687,800.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.