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Finding the Fourth Proportional to 253,435.67, 349,703.58 and 153,928.50

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Solution

The fourth proportional to 253,435.67, 349,703.58 and 153,928.50 is: 212,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,435.67 : 349,703.58 = 153,928.50 : x
  2. Step 2: Convert to fraction form
    253,435.67/349,703.58 = 153,928.50/x
  3. Step 3: Cross multiply
    253,435.67x = 349,703.58 × 153,928.50
  4. Step 4: Simplify right side
    253,435.67x = 53,829,347,514.03
  5. Step 5: Solve for x
    x = 53,829,347,514.03/253,435.67
  6. Step 6: Final answer
    x = 212,398.47

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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.