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Finding the Fourth Proportional to 498,070.99, 687,334.77 and 283,211.00

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Solution

The fourth proportional to 498,070.99, 687,334.77 and 283,211.00 is: 390,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,070.99 : 687,334.77 = 283,211.00 : x
  2. Step 2: Convert to fraction form
    498,070.99/687,334.77 = 283,211.00/x
  3. Step 3: Cross multiply
    498,070.99x = 687,334.77 × 283,211.00
  4. Step 4: Simplify right side
    498,070.99x = 194,660,764,109.80
  5. Step 5: Solve for x
    x = 194,660,764,109.80/498,070.99
  6. Step 6: Final answer
    x = 390,829.36

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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.