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Finding the Fourth Proportional to 527,649.12, 728,152.94 and 285,925.48

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Solution

The fourth proportional to 527,649.12, 728,152.94 and 285,925.48 is: 394,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,649.12 : 728,152.94 = 285,925.48 : x
  2. Step 2: Convert to fraction form
    527,649.12/728,152.94 = 285,925.48/x
  3. Step 3: Cross multiply
    527,649.12x = 728,152.94 × 285,925.48
  4. Step 4: Simplify right side
    527,649.12x = 208,197,477,777.34
  5. Step 5: Solve for x
    x = 208,197,477,777.34/527,649.12
  6. Step 6: Final answer
    x = 394,575.62

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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.