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Finding the Fourth Proportional to 553,838.46, 764,296.11 and 299,188.86

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Solution

The fourth proportional to 553,838.46, 764,296.11 and 299,188.86 is: 412,880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,838.46 : 764,296.11 = 299,188.86 : x
  2. Step 2: Convert to fraction form
    553,838.46/764,296.11 = 299,188.86/x
  3. Step 3: Cross multiply
    553,838.46x = 764,296.11 × 299,188.86
  4. Step 4: Simplify right side
    553,838.46x = 228,668,881,853.34
  5. Step 5: Solve for x
    x = 228,668,881,853.34/553,838.46
  6. Step 6: Final answer
    x = 412,880.11

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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.