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Finding the Fourth Proportional to 330,070.34, 455,507.90 and 186,827.31

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Solution

The fourth proportional to 330,070.34, 455,507.90 and 186,827.31 is: 257,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,070.34 : 455,507.90 = 186,827.31 : x
  2. Step 2: Convert to fraction form
    330,070.34/455,507.90 = 186,827.31/x
  3. Step 3: Cross multiply
    330,070.34x = 455,507.90 × 186,827.31
  4. Step 4: Simplify right side
    330,070.34x = 85,101,316,458.12
  5. Step 5: Solve for x
    x = 85,101,316,458.12/330,070.34
  6. Step 6: Final answer
    x = 257,827.82

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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.