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Finding the Fourth Proportional to 511,467.61, 705,686.83 and 290,701.84

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Solution

The fourth proportional to 511,467.61, 705,686.83 and 290,701.84 is: 401,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,467.61 : 705,686.83 = 290,701.84 : x
  2. Step 2: Convert to fraction form
    511,467.61/705,686.83 = 290,701.84/x
  3. Step 3: Cross multiply
    511,467.61x = 705,686.83 × 290,701.84
  4. Step 4: Simplify right side
    511,467.61x = 205,144,459,944.77
  5. Step 5: Solve for x
    x = 205,144,459,944.77/511,467.61
  6. Step 6: Final answer
    x = 401,089.84

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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.