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Finding the Fourth Proportional to 427,857.72, 642,109.40 and 292,598.61

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Solution

The fourth proportional to 427,857.72, 642,109.40 and 292,598.61 is: 439,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,857.72 : 642,109.40 = 292,598.61 : x
  2. Step 2: Convert to fraction form
    427,857.72/642,109.40 = 292,598.61/x
  3. Step 3: Cross multiply
    427,857.72x = 642,109.40 × 292,598.61
  4. Step 4: Simplify right side
    427,857.72x = 187,880,316,444.94
  5. Step 5: Solve for x
    x = 187,880,316,444.94/427,857.72
  6. Step 6: Final answer
    x = 439,118.68

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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.