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Finding the Fourth Proportional to 409,413.70, 614,206.95 and 128,959.30

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Solution

The fourth proportional to 409,413.70, 614,206.95 and 128,959.30 is: 193,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,413.70 : 614,206.95 = 128,959.30 : x
  2. Step 2: Convert to fraction form
    409,413.70/614,206.95 = 128,959.30/x
  3. Step 3: Cross multiply
    409,413.70x = 614,206.95 × 128,959.30
  4. Step 4: Simplify right side
    409,413.70x = 79,207,698,327.14
  5. Step 5: Solve for x
    x = 79,207,698,327.14/409,413.70
  6. Step 6: Final answer
    x = 193,466.16

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1.5x scale

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.