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Finding the Fourth Proportional to 527,546.76, 728,008.74 and 285,814.91

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Solution

The fourth proportional to 527,546.76, 728,008.74 and 285,814.91 is: 394,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,546.76 : 728,008.74 = 285,814.91 : x
  2. Step 2: Convert to fraction form
    527,546.76/728,008.74 = 285,814.91/x
  3. Step 3: Cross multiply
    527,546.76x = 728,008.74 × 285,814.91
  4. Step 4: Simplify right side
    527,546.76x = 208,075,748,862.27
  5. Step 5: Solve for x
    x = 208,075,748,862.27/527,546.76
  6. Step 6: Final answer
    x = 394,421.43

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1.5x scale

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.