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Finding the Fourth Proportional to 511,215.30, 705,461.40 and 320,333.94

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Solution

The fourth proportional to 511,215.30, 705,461.40 and 320,333.94 is: 442,050.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,215.30 : 705,461.40 = 320,333.94 : x
  2. Step 2: Convert to fraction form
    511,215.30/705,461.40 = 320,333.94/x
  3. Step 3: Cross multiply
    511,215.30x = 705,461.40 × 320,333.94
  4. Step 4: Simplify right side
    511,215.30x = 225,983,229,779.92
  5. Step 5: Solve for x
    x = 225,983,229,779.92/511,215.30
  6. Step 6: Final answer
    x = 442,050.99

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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.