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Finding the Fourth Proportional to 1,301,700, 1,952,584.80 and 415,236

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Solution

The fourth proportional to 1,301,700, 1,952,584.80 and 415,236 is: 622,865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,700 : 1,952,584.80 = 415,236 : x
  2. Step 2: Convert to fraction form
    1,301,700/1,952,584.80 = 415,236/x
  3. Step 3: Cross multiply
    1,301,700x = 1,952,584.80 × 415,236
  4. Step 4: Simplify right side
    1,301,700x = 810,783,502,012.80
  5. Step 5: Solve for x
    x = 810,783,502,012.80/1,301,700
  6. Step 6: Final answer
    x = 622,865.10

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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.