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Finding the Fourth Proportional to 314,559.48, 434,097.01 and 171,319.40

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Solution

The fourth proportional to 314,559.48, 434,097.01 and 171,319.40 is: 236,423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,559.48 : 434,097.01 = 171,319.40 : x
  2. Step 2: Convert to fraction form
    314,559.48/434,097.01 = 171,319.40/x
  3. Step 3: Cross multiply
    314,559.48x = 434,097.01 × 171,319.40
  4. Step 4: Simplify right side
    314,559.48x = 74,369,239,294.99
  5. Step 5: Solve for x
    x = 74,369,239,294.99/314,559.48
  6. Step 6: Final answer
    x = 236,423.46

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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.