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Finding the Fourth Proportional to 920,653, 1,380,093.76 and 471,585.36

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Solution

The fourth proportional to 920,653, 1,380,093.76 and 471,585.36 is: 706,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,653 : 1,380,093.76 = 471,585.36 : x
  2. Step 2: Convert to fraction form
    920,653/1,380,093.76 = 471,585.36/x
  3. Step 3: Cross multiply
    920,653x = 1,380,093.76 × 471,585.36
  4. Step 4: Simplify right side
    920,653x = 650,832,012,643.35
  5. Step 5: Solve for x
    x = 650,832,012,643.35/920,653
  6. Step 6: Final answer
    x = 706,924.34

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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.