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Finding the Fourth Proportional to 292,006.20, 438,009.30 and 242,798.70

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Solution

The fourth proportional to 292,006.20, 438,009.30 and 242,798.70 is: 364,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,006.20 : 438,009.30 = 242,798.70 : x
  2. Step 2: Convert to fraction form
    292,006.20/438,009.30 = 242,798.70/x
  3. Step 3: Cross multiply
    292,006.20x = 438,009.30 × 242,798.70
  4. Step 4: Simplify right side
    292,006.20x = 106,348,088,627.91
  5. Step 5: Solve for x
    x = 106,348,088,627.91/292,006.20
  6. Step 6: Final answer
    x = 364,198.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.