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Finding the Fourth Proportional to 419,395.65, 578,762.01 and 228,412.23

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Solution

The fourth proportional to 419,395.65, 578,762.01 and 228,412.23 is: 315,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,395.65 : 578,762.01 = 228,412.23 : x
  2. Step 2: Convert to fraction form
    419,395.65/578,762.01 = 228,412.23/x
  3. Step 3: Cross multiply
    419,395.65x = 578,762.01 × 228,412.23
  4. Step 4: Simplify right side
    419,395.65x = 132,196,321,343.38
  5. Step 5: Solve for x
    x = 132,196,321,343.38/419,395.65
  6. Step 6: Final answer
    x = 315,206.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.