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Finding the Fourth Proportional to 505,330.32, 757,595.64 and 189,752.08

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Solution

The fourth proportional to 505,330.32, 757,595.64 and 189,752.08 is: 284,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,330.32 : 757,595.64 = 189,752.08 : x
  2. Step 2: Convert to fraction form
    505,330.32/757,595.64 = 189,752.08/x
  3. Step 3: Cross multiply
    505,330.32x = 757,595.64 × 189,752.08
  4. Step 4: Simplify right side
    505,330.32x = 143,755,348,488.93
  5. Step 5: Solve for x
    x = 143,755,348,488.93/505,330.32
  6. Step 6: Final answer
    x = 284,477.98

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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.