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Finding the Fourth Proportional to 313,403.80, 470,412.90 and 155,810.20

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Solution

The fourth proportional to 313,403.80, 470,412.90 and 155,810.20 is: 233,868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,403.80 : 470,412.90 = 155,810.20 : x
  2. Step 2: Convert to fraction form
    313,403.80/470,412.90 = 155,810.20/x
  3. Step 3: Cross multiply
    313,403.80x = 470,412.90 × 155,810.20
  4. Step 4: Simplify right side
    313,403.80x = 73,295,128,031.58
  5. Step 5: Solve for x
    x = 73,295,128,031.58/313,403.80
  6. Step 6: Final answer
    x = 233,868.03

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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.