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Finding the Fourth Proportional to 253,400.17, 349,668.50 and 151,405.33

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Solution

The fourth proportional to 253,400.17, 349,668.50 and 151,405.33 is: 208,925.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,400.17 : 349,668.50 = 151,405.33 : x
  2. Step 2: Convert to fraction form
    253,400.17/349,668.50 = 151,405.33/x
  3. Step 3: Cross multiply
    253,400.17x = 349,668.50 × 151,405.33
  4. Step 4: Simplify right side
    253,400.17x = 52,941,672,674.09
  5. Step 5: Solve for x
    x = 52,941,672,674.09/253,400.17
  6. Step 6: Final answer
    x = 208,925.16

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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.