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Finding the Fourth Proportional to 780,308, 1,170,462.56 and 189,332

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Solution

The fourth proportional to 780,308, 1,170,462.56 and 189,332 is: 283,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,308 : 1,170,462.56 = 189,332 : x
  2. Step 2: Convert to fraction form
    780,308/1,170,462.56 = 189,332/x
  3. Step 3: Cross multiply
    780,308x = 1,170,462.56 × 189,332
  4. Step 4: Simplify right side
    780,308x = 221,606,017,409.92
  5. Step 5: Solve for x
    x = 221,606,017,409.92/780,308
  6. Step 6: Final answer
    x = 283,998.14

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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.