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Finding the Fourth Proportional to 656,903.21, 906,526.69 and 355,097.21

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Solution

The fourth proportional to 656,903.21, 906,526.69 and 355,097.21 is: 490,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,903.21 : 906,526.69 = 355,097.21 : x
  2. Step 2: Convert to fraction form
    656,903.21/906,526.69 = 355,097.21/x
  3. Step 3: Cross multiply
    656,903.21x = 906,526.69 × 355,097.21
  4. Step 4: Simplify right side
    656,903.21x = 321,905,098,409.54
  5. Step 5: Solve for x
    x = 321,905,098,409.54/656,903.21
  6. Step 6: Final answer
    x = 490,034.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.