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Finding the Fourth Proportional to 286,515.20, 429,859.20 and 153,459.20

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Solution

The fourth proportional to 286,515.20, 429,859.20 and 153,459.20 is: 230,235.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,515.20 : 429,859.20 = 153,459.20 : x
  2. Step 2: Convert to fraction form
    286,515.20/429,859.20 = 153,459.20/x
  3. Step 3: Cross multiply
    286,515.20x = 429,859.20 × 153,459.20
  4. Step 4: Simplify right side
    286,515.20x = 65,965,848,944.64
  5. Step 5: Solve for x
    x = 65,965,848,944.64/286,515.20
  6. Step 6: Final answer
    x = 230,235.08

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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.