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Finding the Fourth Proportional to 565,556.91, 780,483.44 and 310,914.51

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Solution

The fourth proportional to 565,556.91, 780,483.44 and 310,914.51 is: 429,070.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,556.91 : 780,483.44 = 310,914.51 : x
  2. Step 2: Convert to fraction form
    565,556.91/780,483.44 = 310,914.51/x
  3. Step 3: Cross multiply
    565,556.91x = 780,483.44 × 310,914.51
  4. Step 4: Simplify right side
    565,556.91x = 242,663,624,756.14
  5. Step 5: Solve for x
    x = 242,663,624,756.14/565,556.91
  6. Step 6: Final answer
    x = 429,070.21

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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.