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Finding the Fourth Proportional to 402,137.46, 554,953.50 and 220,853.16

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Solution

The fourth proportional to 402,137.46, 554,953.50 and 220,853.16 is: 304,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,137.46 : 554,953.50 = 220,853.16 : x
  2. Step 2: Convert to fraction form
    402,137.46/554,953.50 = 220,853.16/x
  3. Step 3: Cross multiply
    402,137.46x = 554,953.50 × 220,853.16
  4. Step 4: Simplify right side
    402,137.46x = 122,563,234,128.06
  5. Step 5: Solve for x
    x = 122,563,234,128.06/402,137.46
  6. Step 6: Final answer
    x = 304,779.45

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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.