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Finding the Fourth Proportional to 314,813.79, 434,454.74 and 178,870.77

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Solution

The fourth proportional to 314,813.79, 434,454.74 and 178,870.77 is: 246,848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,813.79 : 434,454.74 = 178,870.77 : x
  2. Step 2: Convert to fraction form
    314,813.79/434,454.74 = 178,870.77/x
  3. Step 3: Cross multiply
    314,813.79x = 434,454.74 × 178,870.77
  4. Step 4: Simplify right side
    314,813.79x = 77,711,252,979.60
  5. Step 5: Solve for x
    x = 77,711,252,979.60/314,813.79
  6. Step 6: Final answer
    x = 246,848.31

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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.