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Finding the Fourth Proportional to 585,056.50, 807,378 and 316,784.50

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Solution

The fourth proportional to 585,056.50, 807,378 and 316,784.50 is: 437,162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,056.50 : 807,378 = 316,784.50 : x
  2. Step 2: Convert to fraction form
    585,056.50/807,378 = 316,784.50/x
  3. Step 3: Cross multiply
    585,056.50x = 807,378 × 316,784.50
  4. Step 4: Simplify right side
    585,056.50x = 255,764,836,041
  5. Step 5: Solve for x
    x = 255,764,836,041/585,056.50
  6. Step 6: Final answer
    x = 437,162.63

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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.