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Finding the Fourth Proportional to 454,987.70, 683,043.15 and 286,507.70

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Solution

The fourth proportional to 454,987.70, 683,043.15 and 286,507.70 is: 430,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,987.70 : 683,043.15 = 286,507.70 : x
  2. Step 2: Convert to fraction form
    454,987.70/683,043.15 = 286,507.70/x
  3. Step 3: Cross multiply
    454,987.70x = 683,043.15 × 286,507.70
  4. Step 4: Simplify right side
    454,987.70x = 195,697,121,907.26
  5. Step 5: Solve for x
    x = 195,697,121,907.26/454,987.70
  6. Step 6: Final answer
    x = 430,115.19

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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.