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Finding the Fourth Proportional to 310,042.08, 428,009.76 and 208,031.04

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Solution

The fourth proportional to 310,042.08, 428,009.76 and 208,031.04 is: 287,184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,042.08 : 428,009.76 = 208,031.04 : x
  2. Step 2: Convert to fraction form
    310,042.08/428,009.76 = 208,031.04/x
  3. Step 3: Cross multiply
    310,042.08x = 428,009.76 × 208,031.04
  4. Step 4: Simplify right side
    310,042.08x = 89,039,315,502.95
  5. Step 5: Solve for x
    x = 89,039,315,502.95/310,042.08
  6. Step 6: Final answer
    x = 287,184.62

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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.