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Finding the Fourth Proportional to 472,677.78, 652,304.13 and 257,825.55

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Solution

The fourth proportional to 472,677.78, 652,304.13 and 257,825.55 is: 355,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,677.78 : 652,304.13 = 257,825.55 : x
  2. Step 2: Convert to fraction form
    472,677.78/652,304.13 = 257,825.55/x
  3. Step 3: Cross multiply
    472,677.78x = 652,304.13 × 257,825.55
  4. Step 4: Simplify right side
    472,677.78x = 168,180,671,084.52
  5. Step 5: Solve for x
    x = 168,180,671,084.52/472,677.78
  6. Step 6: Final answer
    x = 355,804.06

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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.