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Finding the Fourth Proportional to 507,780.29, 700,726.82 and 278,338.07

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Solution

The fourth proportional to 507,780.29, 700,726.82 and 278,338.07 is: 384,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,780.29 : 700,726.82 = 278,338.07 : x
  2. Step 2: Convert to fraction form
    507,780.29/700,726.82 = 278,338.07/x
  3. Step 3: Cross multiply
    507,780.29x = 700,726.82 × 278,338.07
  4. Step 4: Simplify right side
    507,780.29x = 195,038,951,036.16
  5. Step 5: Solve for x
    x = 195,038,951,036.16/507,780.29
  6. Step 6: Final answer
    x = 384,101.06

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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.