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Finding the Fourth Proportional to 314,716.68, 434,303.54 and 171,477.90

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Solution

The fourth proportional to 314,716.68, 434,303.54 and 171,477.90 is: 236,636.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,716.68 : 434,303.54 = 171,477.90 : x
  2. Step 2: Convert to fraction form
    314,716.68/434,303.54 = 171,477.90/x
  3. Step 3: Cross multiply
    314,716.68x = 434,303.54 × 171,477.90
  4. Step 4: Simplify right side
    314,716.68x = 74,473,459,001.77
  5. Step 5: Solve for x
    x = 74,473,459,001.77/314,716.68
  6. Step 6: Final answer
    x = 236,636.52

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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.