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Finding the Fourth Proportional to 413,511, 570,861.91 and 278,256.12

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Solution

The fourth proportional to 413,511, 570,861.91 and 278,256.12 is: 384,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,511 : 570,861.91 = 278,256.12 : x
  2. Step 2: Convert to fraction form
    413,511/570,861.91 = 278,256.12/x
  3. Step 3: Cross multiply
    413,511x = 570,861.91 × 278,256.12
  4. Step 4: Simplify right side
    413,511x = 158,845,820,132.39
  5. Step 5: Solve for x
    x = 158,845,820,132.39/413,511
  6. Step 6: Final answer
    x = 384,139.29

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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.