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Finding the Fourth Proportional to 472,759.46, 652,407.14 and 257,899.46

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Solution

The fourth proportional to 472,759.46, 652,407.14 and 257,899.46 is: 355,900.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,759.46 : 652,407.14 = 257,899.46 : x
  2. Step 2: Convert to fraction form
    472,759.46/652,407.14 = 257,899.46/x
  3. Step 3: Cross multiply
    472,759.46x = 652,407.14 × 257,899.46
  4. Step 4: Simplify right side
    472,759.46x = 168,255,444,554.61
  5. Step 5: Solve for x
    x = 168,255,444,554.61/472,759.46
  6. Step 6: Final answer
    x = 355,900.75

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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.