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Finding the Fourth Proportional to 472,555.80, 652,115.16 and 257,700

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Solution

The fourth proportional to 472,555.80, 652,115.16 and 257,700 is: 355,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,555.80 : 652,115.16 = 257,700 : x
  2. Step 2: Convert to fraction form
    472,555.80/652,115.16 = 257,700/x
  3. Step 3: Cross multiply
    472,555.80x = 652,115.16 × 257,700
  4. Step 4: Simplify right side
    472,555.80x = 168,050,076,732
  5. Step 5: Solve for x
    x = 168,050,076,732/472,555.80
  6. Step 6: Final answer
    x = 355,619.54

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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.