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Finding the Fourth Proportional to 527,575.48, 728,051.69 and 285,858.06

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Solution

The fourth proportional to 527,575.48, 728,051.69 and 285,858.06 is: 394,482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,575.48 : 728,051.69 = 285,858.06 : x
  2. Step 2: Convert to fraction form
    527,575.48/728,051.69 = 285,858.06/x
  3. Step 3: Cross multiply
    527,575.48x = 728,051.69 × 285,858.06
  4. Step 4: Simplify right side
    527,575.48x = 208,119,445,762.86
  5. Step 5: Solve for x
    x = 208,119,445,762.86/527,575.48
  6. Step 6: Final answer
    x = 394,482.79

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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.