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Finding the Fourth Proportional to 277,075.86, 415,464.75 and 143,625.30

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Solution

The fourth proportional to 277,075.86, 415,464.75 and 143,625.30 is: 215,360.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,075.86 : 415,464.75 = 143,625.30 : x
  2. Step 2: Convert to fraction form
    277,075.86/415,464.75 = 143,625.30/x
  3. Step 3: Cross multiply
    277,075.86x = 415,464.75 × 143,625.30
  4. Step 4: Simplify right side
    277,075.86x = 59,671,249,358.18
  5. Step 5: Solve for x
    x = 59,671,249,358.18/277,075.86
  6. Step 6: Final answer
    x = 215,360.69

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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.