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Finding the Fourth Proportional to 408,698.40, 613,412.10 and 240,007.80

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Solution

The fourth proportional to 408,698.40, 613,412.10 and 240,007.80 is: 360,225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,698.40 : 613,412.10 = 240,007.80 : x
  2. Step 2: Convert to fraction form
    408,698.40/613,412.10 = 240,007.80/x
  3. Step 3: Cross multiply
    408,698.40x = 613,412.10 × 240,007.80
  4. Step 4: Simplify right side
    408,698.40x = 147,223,688,614.38
  5. Step 5: Solve for x
    x = 147,223,688,614.38/408,698.40
  6. Step 6: Final answer
    x = 360,225.75

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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.