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Finding the Fourth Proportional to 390,884.94, 539,432.66 and 216,457.11

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Solution

The fourth proportional to 390,884.94, 539,432.66 and 216,457.11 is: 298,717.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,884.94 : 539,432.66 = 216,457.11 : x
  2. Step 2: Convert to fraction form
    390,884.94/539,432.66 = 216,457.11/x
  3. Step 3: Cross multiply
    390,884.94x = 539,432.66 × 216,457.11
  4. Step 4: Simplify right side
    390,884.94x = 116,764,035,164.36
  5. Step 5: Solve for x
    x = 116,764,035,164.36/390,884.94
  6. Step 6: Final answer
    x = 298,717.15

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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.