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Finding the Fourth Proportional to 314,901.60, 434,564.29 and 178,935.67

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Solution

The fourth proportional to 314,901.60, 434,564.29 and 178,935.67 is: 246,931.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,901.60 : 434,564.29 = 178,935.67 : x
  2. Step 2: Convert to fraction form
    314,901.60/434,564.29 = 178,935.67/x
  3. Step 3: Cross multiply
    314,901.60x = 434,564.29 × 178,935.67
  4. Step 4: Simplify right side
    314,901.60x = 77,759,052,389.22
  5. Step 5: Solve for x
    x = 77,759,052,389.22/314,901.60
  6. Step 6: Final answer
    x = 246,931.27

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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.