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Finding the Fourth Proportional to 404,903.16, 607,292.40 and 135,036

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Solution

The fourth proportional to 404,903.16, 607,292.40 and 135,036 is: 202,533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,903.16 : 607,292.40 = 135,036 : x
  2. Step 2: Convert to fraction form
    404,903.16/607,292.40 = 135,036/x
  3. Step 3: Cross multiply
    404,903.16x = 607,292.40 × 135,036
  4. Step 4: Simplify right side
    404,903.16x = 82,006,336,526.40
  5. Step 5: Solve for x
    x = 82,006,336,526.40/404,903.16
  6. Step 6: Final answer
    x = 202,533.21

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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.