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Finding the Fourth Proportional to 489,126.86, 674,981.04 and 298,070.54

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Solution

The fourth proportional to 489,126.86, 674,981.04 and 298,070.54 is: 411,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,126.86 : 674,981.04 = 298,070.54 : x
  2. Step 2: Convert to fraction form
    489,126.86/674,981.04 = 298,070.54/x
  3. Step 3: Cross multiply
    489,126.86x = 674,981.04 × 298,070.54
  4. Step 4: Simplify right side
    489,126.86x = 201,191,963,082.56
  5. Step 5: Solve for x
    x = 201,191,963,082.56/489,126.86
  6. Step 6: Final answer
    x = 411,328.80

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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.