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Finding the Fourth Proportional to 478,210.56, 659,900.16 and 287,232

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Solution

The fourth proportional to 478,210.56, 659,900.16 and 287,232 is: 396,361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,210.56 : 659,900.16 = 287,232 : x
  2. Step 2: Convert to fraction form
    478,210.56/659,900.16 = 287,232/x
  3. Step 3: Cross multiply
    478,210.56x = 659,900.16 × 287,232
  4. Step 4: Simplify right side
    478,210.56x = 189,544,442,757.12
  5. Step 5: Solve for x
    x = 189,544,442,757.12/478,210.56
  6. Step 6: Final answer
    x = 396,361.89

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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.