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Finding the Fourth Proportional to 472,706.70, 652,311.27 and 257,845.02

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Solution

The fourth proportional to 472,706.70, 652,311.27 and 257,845.02 is: 355,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,706.70 : 652,311.27 = 257,845.02 : x
  2. Step 2: Convert to fraction form
    472,706.70/652,311.27 = 257,845.02/x
  3. Step 3: Cross multiply
    472,706.70x = 652,311.27 × 257,845.02
  4. Step 4: Simplify right side
    472,706.70x = 168,195,212,459.38
  5. Step 5: Solve for x
    x = 168,195,212,459.38/472,706.70
  6. Step 6: Final answer
    x = 355,813.05

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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.