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Finding the Fourth Proportional to 510,531.66, 704,521.35 and 319,650.30

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Solution

The fourth proportional to 510,531.66, 704,521.35 and 319,650.30 is: 441,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,531.66 : 704,521.35 = 319,650.30 : x
  2. Step 2: Convert to fraction form
    510,531.66/704,521.35 = 319,650.30/x
  3. Step 3: Cross multiply
    510,531.66x = 704,521.35 × 319,650.30
  4. Step 4: Simplify right side
    510,531.66x = 225,200,460,883.91
  5. Step 5: Solve for x
    x = 225,200,460,883.91/510,531.66
  6. Step 6: Final answer
    x = 441,109.69

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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.