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Finding the Fourth Proportional to 210,280.80, 314,653.20 and 154,984.80

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Solution

The fourth proportional to 210,280.80, 314,653.20 and 154,984.80 is: 231,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,280.80 : 314,653.20 = 154,984.80 : x
  2. Step 2: Convert to fraction form
    210,280.80/314,653.20 = 154,984.80/x
  3. Step 3: Cross multiply
    210,280.80x = 314,653.20 × 154,984.80
  4. Step 4: Simplify right side
    210,280.80x = 48,766,463,271.36
  5. Step 5: Solve for x
    x = 48,766,463,271.36/210,280.80
  6. Step 6: Final answer
    x = 231,911.16

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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.