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Finding the Fourth Proportional to 472,723.70, 652,362.86 and 257,864.72

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Solution

The fourth proportional to 472,723.70, 652,362.86 and 257,864.72 is: 355,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,723.70 : 652,362.86 = 257,864.72 : x
  2. Step 2: Convert to fraction form
    472,723.70/652,362.86 = 257,864.72/x
  3. Step 3: Cross multiply
    472,723.70x = 652,362.86 × 257,864.72
  4. Step 4: Simplify right side
    472,723.70x = 168,221,363,615.15
  5. Step 5: Solve for x
    x = 168,221,363,615.15/472,723.70
  6. Step 6: Final answer
    x = 355,855.58

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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.