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Finding the Fourth Proportional to 369,576.47, 510,013.05 and 208,432.91

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Solution

The fourth proportional to 369,576.47, 510,013.05 and 208,432.91 is: 287,636.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,576.47 : 510,013.05 = 208,432.91 : x
  2. Step 2: Convert to fraction form
    369,576.47/510,013.05 = 208,432.91/x
  3. Step 3: Cross multiply
    369,576.47x = 510,013.05 × 208,432.91
  4. Step 4: Simplify right side
    369,576.47x = 106,303,504,149.48
  5. Step 5: Solve for x
    x = 106,303,504,149.48/369,576.47
  6. Step 6: Final answer
    x = 287,636.02

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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.