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Finding the Fourth Proportional to 421,570.80, 632,356.20 and 414,572.40

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Solution

The fourth proportional to 421,570.80, 632,356.20 and 414,572.40 is: 621,858.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,570.80 : 632,356.20 = 414,572.40 : x
  2. Step 2: Convert to fraction form
    421,570.80/632,356.20 = 414,572.40/x
  3. Step 3: Cross multiply
    421,570.80x = 632,356.20 × 414,572.40
  4. Step 4: Simplify right side
    421,570.80x = 262,157,427,488.88
  5. Step 5: Solve for x
    x = 262,157,427,488.88/421,570.80
  6. Step 6: Final answer
    x = 621,858.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.