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Finding the Fourth Proportional to 388,090.74, 535,552.10 and 218,292.06

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Solution

The fourth proportional to 388,090.74, 535,552.10 and 218,292.06 is: 301,235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,090.74 : 535,552.10 = 218,292.06 : x
  2. Step 2: Convert to fraction form
    388,090.74/535,552.10 = 218,292.06/x
  3. Step 3: Cross multiply
    388,090.74x = 535,552.10 × 218,292.06
  4. Step 4: Simplify right side
    388,090.74x = 116,906,774,109.67
  5. Step 5: Solve for x
    x = 116,906,774,109.67/388,090.74
  6. Step 6: Final answer
    x = 301,235.67

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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.