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Finding the Fourth Proportional to 286,575.52, 430,195.40 and 153,715.28

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Solution

The fourth proportional to 286,575.52, 430,195.40 and 153,715.28 is: 230,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,575.52 : 430,195.40 = 153,715.28 : x
  2. Step 2: Convert to fraction form
    286,575.52/430,195.40 = 153,715.28/x
  3. Step 3: Cross multiply
    286,575.52x = 430,195.40 × 153,715.28
  4. Step 4: Simplify right side
    286,575.52x = 66,127,606,365.71
  5. Step 5: Solve for x
    x = 66,127,606,365.71/286,575.52
  6. Step 6: Final answer
    x = 230,751.06

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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.