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Finding the Fourth Proportional to 472,661.45, 705,978.33 and 427,613.35

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Solution

The fourth proportional to 472,661.45, 705,978.33 and 427,613.35 is: 638,693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,661.45 : 705,978.33 = 427,613.35 : x
  2. Step 2: Convert to fraction form
    472,661.45/705,978.33 = 427,613.35/x
  3. Step 3: Cross multiply
    472,661.45x = 705,978.33 × 427,613.35
  4. Step 4: Simplify right side
    472,661.45x = 301,885,758,718.71
  5. Step 5: Solve for x
    x = 301,885,758,718.71/472,661.45
  6. Step 6: Final answer
    x = 638,693.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.