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Finding the Fourth Proportional to 471,010.40, 705,478.80 and 330,005.60

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Solution

The fourth proportional to 471,010.40, 705,478.80 and 330,005.60 is: 494,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,010.40 : 705,478.80 = 330,005.60 : x
  2. Step 2: Convert to fraction form
    471,010.40/705,478.80 = 330,005.60/x
  3. Step 3: Cross multiply
    471,010.40x = 705,478.80 × 330,005.60
  4. Step 4: Simplify right side
    471,010.40x = 232,811,954,681.28
  5. Step 5: Solve for x
    x = 232,811,954,681.28/471,010.40
  6. Step 6: Final answer
    x = 494,281.98

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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.