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Finding the Fourth Proportional to 277,078.40, 414,868.01 and 143,678.23

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Solution

The fourth proportional to 277,078.40, 414,868.01 and 143,678.23 is: 215,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,078.40 : 414,868.01 = 143,678.23 : x
  2. Step 2: Convert to fraction form
    277,078.40/414,868.01 = 143,678.23/x
  3. Step 3: Cross multiply
    277,078.40x = 414,868.01 × 143,678.23
  4. Step 4: Simplify right side
    277,078.40x = 59,607,502,186.01
  5. Step 5: Solve for x
    x = 59,607,502,186.01/277,078.40
  6. Step 6: Final answer
    x = 215,128.65

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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.