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Finding the Fourth Proportional to 472,561.80, 652,123.44 and 257,706

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Solution

The fourth proportional to 472,561.80, 652,123.44 and 257,706 is: 355,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,561.80 : 652,123.44 = 257,706 : x
  2. Step 2: Convert to fraction form
    472,561.80/652,123.44 = 257,706/x
  3. Step 3: Cross multiply
    472,561.80x = 652,123.44 × 257,706
  4. Step 4: Simplify right side
    472,561.80x = 168,056,123,228.64
  5. Step 5: Solve for x
    x = 168,056,123,228.64/472,561.80
  6. Step 6: Final answer
    x = 355,627.82

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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.