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Finding the Fourth Proportional to 313,398.80, 470,405.40 and 155,805.20

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Solution

The fourth proportional to 313,398.80, 470,405.40 and 155,805.20 is: 233,860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,398.80 : 470,405.40 = 155,805.20 : x
  2. Step 2: Convert to fraction form
    313,398.80/470,405.40 = 155,805.20/x
  3. Step 3: Cross multiply
    313,398.80x = 470,405.40 × 155,805.20
  4. Step 4: Simplify right side
    313,398.80x = 73,291,607,428.08
  5. Step 5: Solve for x
    x = 73,291,607,428.08/313,398.80
  6. Step 6: Final answer
    x = 233,860.52

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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.