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Finding the Fourth Proportional to 314,812.47, 434,428.57 and 171,569.44

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Solution

The fourth proportional to 314,812.47, 434,428.57 and 171,569.44 is: 236,758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,812.47 : 434,428.57 = 171,569.44 : x
  2. Step 2: Convert to fraction form
    314,812.47/434,428.57 = 171,569.44/x
  3. Step 3: Cross multiply
    314,812.47x = 434,428.57 × 171,569.44
  4. Step 4: Simplify right side
    314,812.47x = 74,534,666,267.32
  5. Step 5: Solve for x
    x = 74,534,666,267.32/314,812.47
  6. Step 6: Final answer
    x = 236,758.94

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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.