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Finding the Fourth Proportional to 709,643.76, 979,162.20 and 407,779.44

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Solution

The fourth proportional to 709,643.76, 979,162.20 and 407,779.44 is: 562,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,643.76 : 979,162.20 = 407,779.44 : x
  2. Step 2: Convert to fraction form
    709,643.76/979,162.20 = 407,779.44/x
  3. Step 3: Cross multiply
    709,643.76x = 979,162.20 × 407,779.44
  4. Step 4: Simplify right side
    709,643.76x = 399,282,213,585.17
  5. Step 5: Solve for x
    x = 399,282,213,585.17/709,643.76
  6. Step 6: Final answer
    x = 562,651.62

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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.