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Finding the Fourth Proportional to 390,214.40, 538,495.16 and 211,366.40

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Solution

The fourth proportional to 390,214.40, 538,495.16 and 211,366.40 is: 291,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,214.40 : 538,495.16 = 211,366.40 : x
  2. Step 2: Convert to fraction form
    390,214.40/538,495.16 = 211,366.40/x
  3. Step 3: Cross multiply
    390,214.40x = 538,495.16 × 211,366.40
  4. Step 4: Simplify right side
    390,214.40x = 113,819,783,386.62
  5. Step 5: Solve for x
    x = 113,819,783,386.62/390,214.40
  6. Step 6: Final answer
    x = 291,685.25

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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.