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Finding the Fourth Proportional to 474,511.58, 711,767.37 and 208,274.40

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Solution

The fourth proportional to 474,511.58, 711,767.37 and 208,274.40 is: 312,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,511.58 : 711,767.37 = 208,274.40 : x
  2. Step 2: Convert to fraction form
    474,511.58/711,767.37 = 208,274.40/x
  3. Step 3: Cross multiply
    474,511.58x = 711,767.37 × 208,274.40
  4. Step 4: Simplify right side
    474,511.58x = 148,242,922,707.36
  5. Step 5: Solve for x
    x = 148,242,922,707.36/474,511.58
  6. Step 6: Final answer
    x = 312,411.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.