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Finding the Fourth Proportional to 380,990.01, 571,488.47 and 164,808.39

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Solution

The fourth proportional to 380,990.01, 571,488.47 and 164,808.39 is: 247,214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,990.01 : 571,488.47 = 164,808.39 : x
  2. Step 2: Convert to fraction form
    380,990.01/571,488.47 = 164,808.39/x
  3. Step 3: Cross multiply
    380,990.01x = 571,488.47 × 164,808.39
  4. Step 4: Simplify right side
    380,990.01x = 94,186,095,209.54
  5. Step 5: Solve for x
    x = 94,186,095,209.54/380,990.01
  6. Step 6: Final answer
    x = 247,214.08

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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.