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Finding the Fourth Proportional to 471,006.40, 705,472.80 and 330,001.60

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Solution

The fourth proportional to 471,006.40, 705,472.80 and 330,001.60 is: 494,275.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,006.40 : 705,472.80 = 330,001.60 : x
  2. Step 2: Convert to fraction form
    471,006.40/705,472.80 = 330,001.60/x
  3. Step 3: Cross multiply
    471,006.40x = 705,472.80 × 330,001.60
  4. Step 4: Simplify right side
    471,006.40x = 232,807,152,756.48
  5. Step 5: Solve for x
    x = 232,807,152,756.48/471,006.40
  6. Step 6: Final answer
    x = 494,275.99

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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.