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Finding the Fourth Proportional to 437,892.90, 657,130.95 and 201,113.70

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Solution

The fourth proportional to 437,892.90, 657,130.95 and 201,113.70 is: 301,804.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,892.90 : 657,130.95 = 201,113.70 : x
  2. Step 2: Convert to fraction form
    437,892.90/657,130.95 = 201,113.70/x
  3. Step 3: Cross multiply
    437,892.90x = 657,130.95 × 201,113.70
  4. Step 4: Simplify right side
    437,892.90x = 132,158,036,739.02
  5. Step 5: Solve for x
    x = 132,158,036,739.02/437,892.90
  6. Step 6: Final answer
    x = 301,804.47

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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.