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Finding the Fourth Proportional to 286,316.82, 429,328.40 and 151,453.71

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Solution

The fourth proportional to 286,316.82, 429,328.40 and 151,453.71 is: 227,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,316.82 : 429,328.40 = 151,453.71 : x
  2. Step 2: Convert to fraction form
    286,316.82/429,328.40 = 151,453.71/x
  3. Step 3: Cross multiply
    286,316.82x = 429,328.40 × 151,453.71
  4. Step 4: Simplify right side
    286,316.82x = 65,023,378,231.10
  5. Step 5: Solve for x
    x = 65,023,378,231.10/286,316.82
  6. Step 6: Final answer
    x = 227,102.89

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1.5x scale

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.