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Finding the Fourth Proportional to 426,720.52, 640,395.74 and 202,080.52

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Solution

The fourth proportional to 426,720.52, 640,395.74 and 202,080.52 is: 303,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,720.52 : 640,395.74 = 202,080.52 : x
  2. Step 2: Convert to fraction form
    426,720.52/640,395.74 = 202,080.52/x
  3. Step 3: Cross multiply
    426,720.52x = 640,395.74 × 202,080.52
  4. Step 4: Simplify right side
    426,720.52x = 129,411,501,533.59
  5. Step 5: Solve for x
    x = 129,411,501,533.59/426,720.52
  6. Step 6: Final answer
    x = 303,269.93

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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.