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Finding the Fourth Proportional to 253,465.32, 349,771.14 and 140,281.32

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Solution

The fourth proportional to 253,465.32, 349,771.14 and 140,281.32 is: 193,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,465.32 : 349,771.14 = 140,281.32 : x
  2. Step 2: Convert to fraction form
    253,465.32/349,771.14 = 140,281.32/x
  3. Step 3: Cross multiply
    253,465.32x = 349,771.14 × 140,281.32
  4. Step 4: Simplify right side
    253,465.32x = 49,066,357,217.10
  5. Step 5: Solve for x
    x = 49,066,357,217.10/253,465.32
  6. Step 6: Final answer
    x = 193,582.13

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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.