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Finding the Fourth Proportional to 295,931.76, 408,386.52 and 161,804.40

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Solution

The fourth proportional to 295,931.76, 408,386.52 and 161,804.40 is: 223,290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,931.76 : 408,386.52 = 161,804.40 : x
  2. Step 2: Convert to fraction form
    295,931.76/408,386.52 = 161,804.40/x
  3. Step 3: Cross multiply
    295,931.76x = 408,386.52 × 161,804.40
  4. Step 4: Simplify right side
    295,931.76x = 66,078,735,836.69
  5. Step 5: Solve for x
    x = 66,078,735,836.69/295,931.76
  6. Step 6: Final answer
    x = 223,290.45

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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.