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Finding the Fourth Proportional to 390,854.69, 539,334.14 and 218,782.28

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Solution

The fourth proportional to 390,854.69, 539,334.14 and 218,782.28 is: 301,894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,854.69 : 539,334.14 = 218,782.28 : x
  2. Step 2: Convert to fraction form
    390,854.69/539,334.14 = 218,782.28/x
  3. Step 3: Cross multiply
    390,854.69x = 539,334.14 × 218,782.28
  4. Step 4: Simplify right side
    390,854.69x = 117,996,749,040.46
  5. Step 5: Solve for x
    x = 117,996,749,040.46/390,854.69
  6. Step 6: Final answer
    x = 301,894.17

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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.