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Finding the Fourth Proportional to 314,807.10, 434,421.12 and 171,564.06

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Solution

The fourth proportional to 314,807.10, 434,421.12 and 171,564.06 is: 236,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,807.10 : 434,421.12 = 171,564.06 : x
  2. Step 2: Convert to fraction form
    314,807.10/434,421.12 = 171,564.06/x
  3. Step 3: Cross multiply
    314,807.10x = 434,421.12 × 171,564.06
  4. Step 4: Simplify right side
    314,807.10x = 74,531,051,096.95
  5. Step 5: Solve for x
    x = 74,531,051,096.95/314,807.10
  6. Step 6: Final answer
    x = 236,751.49

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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.