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Finding the Fourth Proportional to 469,205.52, 646,990.02 and 348,570.60

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Solution

The fourth proportional to 469,205.52, 646,990.02 and 348,570.60 is: 480,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,205.52 : 646,990.02 = 348,570.60 : x
  2. Step 2: Convert to fraction form
    469,205.52/646,990.02 = 348,570.60/x
  3. Step 3: Cross multiply
    469,205.52x = 646,990.02 × 348,570.60
  4. Step 4: Simplify right side
    469,205.52x = 225,521,699,465.41
  5. Step 5: Solve for x
    x = 225,521,699,465.41/469,205.52
  6. Step 6: Final answer
    x = 480,645.88

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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.