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Finding the Fourth Proportional to 380,955.34, 570,931.61 and 212,554.92

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Solution

The fourth proportional to 380,955.34, 570,931.61 and 212,554.92 is: 318,552.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,955.34 : 570,931.61 = 212,554.92 : x
  2. Step 2: Convert to fraction form
    380,955.34/570,931.61 = 212,554.92/x
  3. Step 3: Cross multiply
    380,955.34x = 570,931.61 × 212,554.92
  4. Step 4: Simplify right side
    380,955.34x = 121,354,322,689.02
  5. Step 5: Solve for x
    x = 121,354,322,689.02/380,955.34
  6. Step 6: Final answer
    x = 318,552.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.