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Finding the Fourth Proportional to 410,703.75, 616,055.63 and 130,221

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Solution

The fourth proportional to 410,703.75, 616,055.63 and 130,221 is: 195,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,703.75 : 616,055.63 = 130,221 : x
  2. Step 2: Convert to fraction form
    410,703.75/616,055.63 = 130,221/x
  3. Step 3: Cross multiply
    410,703.75x = 616,055.63 × 130,221
  4. Step 4: Simplify right side
    410,703.75x = 80,223,379,543.13
  5. Step 5: Solve for x
    x = 80,223,379,543.13/410,703.75
  6. Step 6: Final answer
    x = 195,331.50

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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.