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Finding the Fourth Proportional to 390,726.36, 539,202.42 and 211,878.36

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Solution

The fourth proportional to 390,726.36, 539,202.42 and 211,878.36 is: 292,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,726.36 : 539,202.42 = 211,878.36 : x
  2. Step 2: Convert to fraction form
    390,726.36/539,202.42 = 211,878.36/x
  3. Step 3: Cross multiply
    390,726.36x = 539,202.42 × 211,878.36
  4. Step 4: Simplify right side
    390,726.36x = 114,245,324,457.63
  5. Step 5: Solve for x
    x = 114,245,324,457.63/390,726.36
  6. Step 6: Final answer
    x = 292,392.16

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1.5x scale

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.