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Finding the Fourth Proportional to 527,558.16, 728,065.98 and 298,035.84

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Solution

The fourth proportional to 527,558.16, 728,065.98 and 298,035.84 is: 411,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,558.16 : 728,065.98 = 298,035.84 : x
  2. Step 2: Convert to fraction form
    527,558.16/728,065.98 = 298,035.84/x
  3. Step 3: Cross multiply
    527,558.16x = 728,065.98 × 298,035.84
  4. Step 4: Simplify right side
    527,558.16x = 216,989,755,924.72
  5. Step 5: Solve for x
    x = 216,989,755,924.72/527,558.16
  6. Step 6: Final answer
    x = 411,309.64

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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.