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Finding the Fourth Proportional to 286,518.54, 429,902.01 and 109,075.98

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Solution

The fourth proportional to 286,518.54, 429,902.01 and 109,075.98 is: 163,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,518.54 : 429,902.01 = 109,075.98 : x
  2. Step 2: Convert to fraction form
    286,518.54/429,902.01 = 109,075.98/x
  3. Step 3: Cross multiply
    286,518.54x = 429,902.01 × 109,075.98
  4. Step 4: Simplify right side
    286,518.54x = 46,891,983,044.72
  5. Step 5: Solve for x
    x = 46,891,983,044.72/286,518.54
  6. Step 6: Final answer
    x = 163,661.25

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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.