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Finding the Fourth Proportional to 392,966.40, 542,293.64 and 214,118.40

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Solution

The fourth proportional to 392,966.40, 542,293.64 and 214,118.40 is: 295,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,966.40 : 542,293.64 = 214,118.40 : x
  2. Step 2: Convert to fraction form
    392,966.40/542,293.64 = 214,118.40/x
  3. Step 3: Cross multiply
    392,966.40x = 542,293.64 × 214,118.40
  4. Step 4: Simplify right side
    392,966.40x = 116,115,046,526.98
  5. Step 5: Solve for x
    x = 116,115,046,526.98/392,966.40
  6. Step 6: Final answer
    x = 295,483.40

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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.