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Finding the Fourth Proportional to 357,220.09, 492,970.10 and 196,090.14

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Solution

The fourth proportional to 357,220.09, 492,970.10 and 196,090.14 is: 270,607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,220.09 : 492,970.10 = 196,090.14 : x
  2. Step 2: Convert to fraction form
    357,220.09/492,970.10 = 196,090.14/x
  3. Step 3: Cross multiply
    357,220.09x = 492,970.10 × 196,090.14
  4. Step 4: Simplify right side
    357,220.09x = 96,666,575,924.81
  5. Step 5: Solve for x
    x = 96,666,575,924.81/357,220.09
  6. Step 6: Final answer
    x = 270,607.89

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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.