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Finding the Fourth Proportional to 390,693, 539,156.58 and 211,845

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Solution

The fourth proportional to 390,693, 539,156.58 and 211,845 is: 292,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,693 : 539,156.58 = 211,845 : x
  2. Step 2: Convert to fraction form
    390,693/539,156.58 = 211,845/x
  3. Step 3: Cross multiply
    390,693x = 539,156.58 × 211,845
  4. Step 4: Simplify right side
    390,693x = 114,217,625,690.10
  5. Step 5: Solve for x
    x = 114,217,625,690.10/390,693
  6. Step 6: Final answer
    x = 292,346.23

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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.