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Finding the Fourth Proportional to 585,022.60, 877,533.90 and 407,729.80

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Solution

The fourth proportional to 585,022.60, 877,533.90 and 407,729.80 is: 611,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,022.60 : 877,533.90 = 407,729.80 : x
  2. Step 2: Convert to fraction form
    585,022.60/877,533.90 = 407,729.80/x
  3. Step 3: Cross multiply
    585,022.60x = 877,533.90 × 407,729.80
  4. Step 4: Simplify right side
    585,022.60x = 357,796,721,540.22
  5. Step 5: Solve for x
    x = 357,796,721,540.22/585,022.60
  6. Step 6: Final answer
    x = 611,594.70

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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.