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Finding the Fourth Proportional to 706,905, 975,521.34 and 420,418.80

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Solution

The fourth proportional to 706,905, 975,521.34 and 420,418.80 is: 580,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,905 : 975,521.34 = 420,418.80 : x
  2. Step 2: Convert to fraction form
    706,905/975,521.34 = 420,418.80/x
  3. Step 3: Cross multiply
    706,905x = 975,521.34 × 420,418.80
  4. Step 4: Simplify right side
    706,905x = 410,127,511,137.19
  5. Step 5: Solve for x
    x = 410,127,511,137.19/706,905
  6. Step 6: Final answer
    x = 580,173.45

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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.