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Finding the Fourth Proportional to 866,932,709.69, 1,196,367,147.30 and 470,455,698.68

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Solution

The fourth proportional to 866,932,709.69, 1,196,367,147.30 and 470,455,698.68 is: 649,228,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,932,709.69 : 1,196,367,147.30 = 470,455,698.68 : x
  2. Step 2: Convert to fraction form
    866,932,709.69/1,196,367,147.30 = 470,455,698.68/x
  3. Step 3: Cross multiply
    866,932,709.69x = 1,196,367,147.30 × 470,455,698.68
  4. Step 4: Simplify right side
    866,932,709.69x = 562,837,742,154,838,144
  5. Step 5: Solve for x
    x = 562,837,742,154,838,144/866,932,709.69
  6. Step 6: Final answer
    x = 649,228,868.47

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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.