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Finding the Fourth Proportional to 526,564.32, 788,208.48 and 286,076.88

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Solution

The fourth proportional to 526,564.32, 788,208.48 and 286,076.88 is: 428,225.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,564.32 : 788,208.48 = 286,076.88 : x
  2. Step 2: Convert to fraction form
    526,564.32/788,208.48 = 286,076.88/x
  3. Step 3: Cross multiply
    526,564.32x = 788,208.48 × 286,076.88
  4. Step 4: Simplify right side
    526,564.32x = 225,488,222,747.94
  5. Step 5: Solve for x
    x = 225,488,222,747.94/526,564.32
  6. Step 6: Final answer
    x = 428,225.41

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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.