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Finding the Fourth Proportional to 475,498.94, 656,188.69 and 260,640.47

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Solution

The fourth proportional to 475,498.94, 656,188.69 and 260,640.47 is: 359,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,498.94 : 656,188.69 = 260,640.47 : x
  2. Step 2: Convert to fraction form
    475,498.94/656,188.69 = 260,640.47/x
  3. Step 3: Cross multiply
    475,498.94x = 656,188.69 × 260,640.47
  4. Step 4: Simplify right side
    475,498.94x = 171,029,323,986.14
  5. Step 5: Solve for x
    x = 171,029,323,986.14/475,498.94
  6. Step 6: Final answer
    x = 359,683.92

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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.