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Finding the Fourth Proportional to 310,554.12, 428,697.72 and 213,893.58

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Solution

The fourth proportional to 310,554.12, 428,697.72 and 213,893.58 is: 295,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,554.12 : 428,697.72 = 213,893.58 : x
  2. Step 2: Convert to fraction form
    310,554.12/428,697.72 = 213,893.58/x
  3. Step 3: Cross multiply
    310,554.12x = 428,697.72 × 213,893.58
  4. Step 4: Simplify right side
    310,554.12x = 91,695,690,068.64
  5. Step 5: Solve for x
    x = 91,695,690,068.64/310,554.12
  6. Step 6: Final answer
    x = 295,264.77

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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.