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Finding the Fourth Proportional to 509,229.72, 697,304.54 and 489,153.06

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Solution

The fourth proportional to 509,229.72, 697,304.54 and 489,153.06 is: 669,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,229.72 : 697,304.54 = 489,153.06 : x
  2. Step 2: Convert to fraction form
    509,229.72/697,304.54 = 489,153.06/x
  3. Step 3: Cross multiply
    509,229.72x = 697,304.54 × 489,153.06
  4. Step 4: Simplify right side
    509,229.72x = 341,088,647,047.13
  5. Step 5: Solve for x
    x = 341,088,647,047.13/509,229.72
  6. Step 6: Final answer
    x = 669,812.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.