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Finding the Fourth Proportional to 502,036.62, 692,815.35 and 275,686.86

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Solution

The fourth proportional to 502,036.62, 692,815.35 and 275,686.86 is: 380,450.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,036.62 : 692,815.35 = 275,686.86 : x
  2. Step 2: Convert to fraction form
    502,036.62/692,815.35 = 275,686.86/x
  3. Step 3: Cross multiply
    502,036.62x = 692,815.35 × 275,686.86
  4. Step 4: Simplify right side
    502,036.62x = 191,000,088,401.30
  5. Step 5: Solve for x
    x = 191,000,088,401.30/502,036.62
  6. Step 6: Final answer
    x = 380,450.51

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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.