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Finding the Fourth Proportional to 420,026.40, 579,893.40 and 259,101.36

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Solution

The fourth proportional to 420,026.40, 579,893.40 and 259,101.36 is: 357,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,026.40 : 579,893.40 = 259,101.36 : x
  2. Step 2: Convert to fraction form
    420,026.40/579,893.40 = 259,101.36/x
  3. Step 3: Cross multiply
    420,026.40x = 579,893.40 × 259,101.36
  4. Step 4: Simplify right side
    420,026.40x = 150,251,168,595.02
  5. Step 5: Solve for x
    x = 150,251,168,595.02/420,026.40
  6. Step 6: Final answer
    x = 357,718.39

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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.