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Finding the Fourth Proportional to 314,804.07, 434,426.90 and 171,564.08

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Solution

The fourth proportional to 314,804.07, 434,426.90 and 171,564.08 is: 236,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,804.07 : 434,426.90 = 171,564.08 : x
  2. Step 2: Convert to fraction form
    314,804.07/434,426.90 = 171,564.08/x
  3. Step 3: Cross multiply
    314,804.07x = 434,426.90 × 171,564.08
  4. Step 4: Simplify right side
    314,804.07x = 74,532,048,395.80
  5. Step 5: Solve for x
    x = 74,532,048,395.80/314,804.07
  6. Step 6: Final answer
    x = 236,756.94

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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.