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Finding the Fourth Proportional to 390,842.49, 586,388.28 and 174,667.78

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Solution

The fourth proportional to 390,842.49, 586,388.28 and 174,667.78 is: 262,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,842.49 : 586,388.28 = 174,667.78 : x
  2. Step 2: Convert to fraction form
    390,842.49/586,388.28 = 174,667.78/x
  3. Step 3: Cross multiply
    390,842.49x = 586,388.28 × 174,667.78
  4. Step 4: Simplify right side
    390,842.49x = 102,423,139,085.62
  5. Step 5: Solve for x
    x = 102,423,139,085.62/390,842.49
  6. Step 6: Final answer
    x = 262,057.33

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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.