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Finding the Fourth Proportional to 405,200.70, 607,801.05 and 399,295.80

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Solution

The fourth proportional to 405,200.70, 607,801.05 and 399,295.80 is: 598,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,200.70 : 607,801.05 = 399,295.80 : x
  2. Step 2: Convert to fraction form
    405,200.70/607,801.05 = 399,295.80/x
  3. Step 3: Cross multiply
    405,200.70x = 607,801.05 × 399,295.80
  4. Step 4: Simplify right side
    405,200.70x = 242,692,406,500.59
  5. Step 5: Solve for x
    x = 242,692,406,500.59/405,200.70
  6. Step 6: Final answer
    x = 598,943.70

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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.