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Finding the Fourth Proportional to 485,703, 670,270.14 and 284,499

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Solution

The fourth proportional to 485,703, 670,270.14 and 284,499 is: 392,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,703 : 670,270.14 = 284,499 : x
  2. Step 2: Convert to fraction form
    485,703/670,270.14 = 284,499/x
  3. Step 3: Cross multiply
    485,703x = 670,270.14 × 284,499
  4. Step 4: Simplify right side
    485,703x = 190,691,184,559.86
  5. Step 5: Solve for x
    x = 190,691,184,559.86/485,703
  6. Step 6: Final answer
    x = 392,608.62

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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.