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Finding the Fourth Proportional to 315,392.74, 435,048.06 and 224,778.04

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Solution

The fourth proportional to 315,392.74, 435,048.06 and 224,778.04 is: 310,055.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,392.74 : 435,048.06 = 224,778.04 : x
  2. Step 2: Convert to fraction form
    315,392.74/435,048.06 = 224,778.04/x
  3. Step 3: Cross multiply
    315,392.74x = 435,048.06 × 224,778.04
  4. Step 4: Simplify right side
    315,392.74x = 97,789,249,987.90
  5. Step 5: Solve for x
    x = 97,789,249,987.90/315,392.74
  6. Step 6: Final answer
    x = 310,055.49

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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.