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Finding the Fourth Proportional to 523,822.56, 785,784.48 and 208,208.64

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Solution

The fourth proportional to 523,822.56, 785,784.48 and 208,208.64 is: 312,333.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,822.56 : 785,784.48 = 208,208.64 : x
  2. Step 2: Convert to fraction form
    523,822.56/785,784.48 = 208,208.64/x
  3. Step 3: Cross multiply
    523,822.56x = 785,784.48 × 208,208.64
  4. Step 4: Simplify right side
    523,822.56x = 163,607,117,913.91
  5. Step 5: Solve for x
    x = 163,607,117,913.91/523,822.56
  6. Step 6: Final answer
    x = 312,333.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.