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Finding the Fourth Proportional to 419,070.07, 628,698.81 and 152,830.60

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Solution

The fourth proportional to 419,070.07, 628,698.81 and 152,830.60 is: 229,280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,070.07 : 628,698.81 = 152,830.60 : x
  2. Step 2: Convert to fraction form
    419,070.07/628,698.81 = 152,830.60/x
  3. Step 3: Cross multiply
    419,070.07x = 628,698.81 × 152,830.60
  4. Step 4: Simplify right side
    419,070.07x = 96,084,415,352.95
  5. Step 5: Solve for x
    x = 96,084,415,352.95/419,070.07
  6. Step 6: Final answer
    x = 229,280.07

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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.