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Finding the Fourth Proportional to 527,708.84, 728,274.63 and 321,057.86

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Solution

The fourth proportional to 527,708.84, 728,274.63 and 321,057.86 is: 443,082.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,708.84 : 728,274.63 = 321,057.86 : x
  2. Step 2: Convert to fraction form
    527,708.84/728,274.63 = 321,057.86/x
  3. Step 3: Cross multiply
    527,708.84x = 728,274.63 × 321,057.86
  4. Step 4: Simplify right side
    527,708.84x = 233,818,291,762.69
  5. Step 5: Solve for x
    x = 233,818,291,762.69/527,708.84
  6. Step 6: Final answer
    x = 443,082.01

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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.