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Finding the Fourth Proportional to 506,494,718.79, 698,984,556.88 and 280,433,700.52

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Solution

The fourth proportional to 506,494,718.79, 698,984,556.88 and 280,433,700.52 is: 387,010,601.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,494,718.79 : 698,984,556.88 = 280,433,700.52 : x
  2. Step 2: Convert to fraction form
    506,494,718.79/698,984,556.88 = 280,433,700.52/x
  3. Step 3: Cross multiply
    506,494,718.79x = 698,984,556.88 × 280,433,700.52
  4. Step 4: Simplify right side
    506,494,718.79x = 196,018,825,892,190,816
  5. Step 5: Solve for x
    x = 196,018,825,892,190,816/506,494,718.79
  6. Step 6: Final answer
    x = 387,010,601.73

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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.