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Finding the Fourth Proportional to 388,411.92, 535,880.16 and 316,668.60

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Solution

The fourth proportional to 388,411.92, 535,880.16 and 316,668.60 is: 436,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,411.92 : 535,880.16 = 316,668.60 : x
  2. Step 2: Convert to fraction form
    388,411.92/535,880.16 = 316,668.60/x
  3. Step 3: Cross multiply
    388,411.92x = 535,880.16 × 316,668.60
  4. Step 4: Simplify right side
    388,411.92x = 169,696,420,034.98
  5. Step 5: Solve for x
    x = 169,696,420,034.98/388,411.92
  6. Step 6: Final answer
    x = 436,898.07

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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.