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Finding the Fourth Proportional to 499,877.64, 689,796.90 and 285,026.76

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Solution

The fourth proportional to 499,877.64, 689,796.90 and 285,026.76 is: 393,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,877.64 : 689,796.90 = 285,026.76 : x
  2. Step 2: Convert to fraction form
    499,877.64/689,796.90 = 285,026.76/x
  3. Step 3: Cross multiply
    499,877.64x = 689,796.90 × 285,026.76
  4. Step 4: Simplify right side
    499,877.64x = 196,610,575,465.04
  5. Step 5: Solve for x
    x = 196,610,575,465.04/499,877.64
  6. Step 6: Final answer
    x = 393,317.40

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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.