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Finding the Fourth Proportional to 527,901.84, 728,333.16 and 298,436.88

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Solution

The fourth proportional to 527,901.84, 728,333.16 and 298,436.88 is: 411,746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,901.84 : 728,333.16 = 298,436.88 : x
  2. Step 2: Convert to fraction form
    527,901.84/728,333.16 = 298,436.88/x
  3. Step 3: Cross multiply
    527,901.84x = 728,333.16 × 298,436.88
  4. Step 4: Simplify right side
    527,901.84x = 217,361,475,870.94
  5. Step 5: Solve for x
    x = 217,361,475,870.94/527,901.84
  6. Step 6: Final answer
    x = 411,746.01

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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.