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Finding the Fourth Proportional to 505,929.52, 757,534.31 and 385,412.32

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Solution

The fourth proportional to 505,929.52, 757,534.31 and 385,412.32 is: 577,082.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,929.52 : 757,534.31 = 385,412.32 : x
  2. Step 2: Convert to fraction form
    505,929.52/757,534.31 = 385,412.32/x
  3. Step 3: Cross multiply
    505,929.52x = 757,534.31 × 385,412.32
  4. Step 4: Simplify right side
    505,929.52x = 291,963,055,896.70
  5. Step 5: Solve for x
    x = 291,963,055,896.70/505,929.52
  6. Step 6: Final answer
    x = 577,082.47

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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.