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Finding the Fourth Proportional to 472,486.16, 652,016.58 and 257,630.42

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Solution

The fourth proportional to 472,486.16, 652,016.58 and 257,630.42 is: 355,522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,486.16 : 652,016.58 = 257,630.42 : x
  2. Step 2: Convert to fraction form
    472,486.16/652,016.58 = 257,630.42/x
  3. Step 3: Cross multiply
    472,486.16x = 652,016.58 × 257,630.42
  4. Step 4: Simplify right side
    472,486.16x = 167,979,305,352.36
  5. Step 5: Solve for x
    x = 167,979,305,352.36/472,486.16
  6. Step 6: Final answer
    x = 355,522.17

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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.