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Finding the Fourth Proportional to 502,134.72, 692,979.84 and 275,782.56

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Solution

The fourth proportional to 502,134.72, 692,979.84 and 275,782.56 is: 380,598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,134.72 : 692,979.84 = 275,782.56 : x
  2. Step 2: Convert to fraction form
    502,134.72/692,979.84 = 275,782.56/x
  3. Step 3: Cross multiply
    502,134.72x = 692,979.84 × 275,782.56
  4. Step 4: Simplify right side
    502,134.72x = 191,111,754,303.59
  5. Step 5: Solve for x
    x = 191,111,754,303.59/502,134.72
  6. Step 6: Final answer
    x = 380,598.57

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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.