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Finding the Fourth Proportional to 446,633.36, 670,018.08 and 278,017.28

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Solution

The fourth proportional to 446,633.36, 670,018.08 and 278,017.28 is: 417,068.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,633.36 : 670,018.08 = 278,017.28 : x
  2. Step 2: Convert to fraction form
    446,633.36/670,018.08 = 278,017.28/x
  3. Step 3: Cross multiply
    446,633.36x = 670,018.08 × 278,017.28
  4. Step 4: Simplify right side
    446,633.36x = 186,276,604,152.42
  5. Step 5: Solve for x
    x = 186,276,604,152.42/446,633.36
  6. Step 6: Final answer
    x = 417,068.27

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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.