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Finding the Fourth Proportional to 390,702, 539,169.04 and 211,854

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Solution

The fourth proportional to 390,702, 539,169.04 and 211,854 is: 292,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,702 : 539,169.04 = 211,854 : x
  2. Step 2: Convert to fraction form
    390,702/539,169.04 = 211,854/x
  3. Step 3: Cross multiply
    390,702x = 539,169.04 × 211,854
  4. Step 4: Simplify right side
    390,702x = 114,225,117,800.16
  5. Step 5: Solve for x
    x = 114,225,117,800.16/390,702
  6. Step 6: Final answer
    x = 292,358.67

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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.