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Finding the Fourth Proportional to 507,848.68, 700,826.61 and 278,419.06

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Solution

The fourth proportional to 507,848.68, 700,826.61 and 278,419.06 is: 384,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,848.68 : 700,826.61 = 278,419.06 : x
  2. Step 2: Convert to fraction form
    507,848.68/700,826.61 = 278,419.06/x
  3. Step 3: Cross multiply
    507,848.68x = 700,826.61 × 278,419.06
  4. Step 4: Simplify right side
    507,848.68x = 195,123,485,979.19
  5. Step 5: Solve for x
    x = 195,123,485,979.19/507,848.68
  6. Step 6: Final answer
    x = 384,215.80

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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.