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Finding the Fourth Proportional to 506,447.02, 698,843.56 and 302,469.64

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Solution

The fourth proportional to 506,447.02, 698,843.56 and 302,469.64 is: 417,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,447.02 : 698,843.56 = 302,469.64 : x
  2. Step 2: Convert to fraction form
    506,447.02/698,843.56 = 302,469.64/x
  3. Step 3: Cross multiply
    506,447.02x = 698,843.56 × 302,469.64
  4. Step 4: Simplify right side
    506,447.02x = 211,378,960,009.52
  5. Step 5: Solve for x
    x = 211,378,960,009.52/506,447.02
  6. Step 6: Final answer
    x = 417,376.25

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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.