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Finding the Fourth Proportional to 310,407.40, 465,740.70 and 100,109.80

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Solution

The fourth proportional to 310,407.40, 465,740.70 and 100,109.80 is: 150,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,407.40 : 465,740.70 = 100,109.80 : x
  2. Step 2: Convert to fraction form
    310,407.40/465,740.70 = 100,109.80/x
  3. Step 3: Cross multiply
    310,407.40x = 465,740.70 × 100,109.80
  4. Step 4: Simplify right side
    310,407.40x = 46,625,208,328.86
  5. Step 5: Solve for x
    x = 46,625,208,328.86/310,407.40
  6. Step 6: Final answer
    x = 150,206.50

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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.