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Finding the Fourth Proportional to 654,068.37, 902,689.17 and 363,708.89

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Solution

The fourth proportional to 654,068.37, 902,689.17 and 363,708.89 is: 501,959.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,068.37 : 902,689.17 = 363,708.89 : x
  2. Step 2: Convert to fraction form
    654,068.37/902,689.17 = 363,708.89/x
  3. Step 3: Cross multiply
    654,068.37x = 902,689.17 × 363,708.89
  4. Step 4: Simplify right side
    654,068.37x = 328,316,076,035.72
  5. Step 5: Solve for x
    x = 328,316,076,035.72/654,068.37
  6. Step 6: Final answer
    x = 501,959.87

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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.