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Finding the Fourth Proportional to 472,984.63, 652,732.62 and 258,138.47

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Solution

The fourth proportional to 472,984.63, 652,732.62 and 258,138.47 is: 356,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,984.63 : 652,732.62 = 258,138.47 : x
  2. Step 2: Convert to fraction form
    472,984.63/652,732.62 = 258,138.47/x
  3. Step 3: Cross multiply
    472,984.63x = 652,732.62 × 258,138.47
  4. Step 4: Simplify right side
    472,984.63x = 168,495,399,845.89
  5. Step 5: Solve for x
    x = 168,495,399,845.89/472,984.63
  6. Step 6: Final answer
    x = 356,238.64

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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.