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Finding the Fourth Proportional to 608,603.60, 912,905.40 and 419,646.80

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Solution

The fourth proportional to 608,603.60, 912,905.40 and 419,646.80 is: 629,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,603.60 : 912,905.40 = 419,646.80 : x
  2. Step 2: Convert to fraction form
    608,603.60/912,905.40 = 419,646.80/x
  3. Step 3: Cross multiply
    608,603.60x = 912,905.40 × 419,646.80
  4. Step 4: Simplify right side
    608,603.60x = 383,097,829,812.72
  5. Step 5: Solve for x
    x = 383,097,829,812.72/608,603.60
  6. Step 6: Final answer
    x = 629,470.20

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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.