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Finding the Fourth Proportional to 585,738.64, 877,604.98 and 319,685.84

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Solution

The fourth proportional to 585,738.64, 877,604.98 and 319,685.84 is: 478,981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,738.64 : 877,604.98 = 319,685.84 : x
  2. Step 2: Convert to fraction form
    585,738.64/877,604.98 = 319,685.84/x
  3. Step 3: Cross multiply
    585,738.64x = 877,604.98 × 319,685.84
  4. Step 4: Simplify right side
    585,738.64x = 280,557,883,922.67
  5. Step 5: Solve for x
    x = 280,557,883,922.67/585,738.64
  6. Step 6: Final answer
    x = 478,981.35

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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.