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Finding the Fourth Proportional to 527,555.16, 728,061.84 and 298,032.84

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Solution

The fourth proportional to 527,555.16, 728,061.84 and 298,032.84 is: 411,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,555.16 : 728,061.84 = 298,032.84 : x
  2. Step 2: Convert to fraction form
    527,555.16/728,061.84 = 298,032.84/x
  3. Step 3: Cross multiply
    527,555.16x = 728,061.84 × 298,032.84
  4. Step 4: Simplify right side
    527,555.16x = 216,986,337,870.83
  5. Step 5: Solve for x
    x = 216,986,337,870.83/527,555.16
  6. Step 6: Final answer
    x = 411,305.50

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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.