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Finding the Fourth Proportional to 361,854, 499,358.93 and 210,980.16

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Solution

The fourth proportional to 361,854, 499,358.93 and 210,980.16 is: 291,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,854 : 499,358.93 = 210,980.16 : x
  2. Step 2: Convert to fraction form
    361,854/499,358.93 = 210,980.16/x
  3. Step 3: Cross multiply
    361,854x = 499,358.93 × 210,980.16
  4. Step 4: Simplify right side
    361,854x = 105,354,825,893.93
  5. Step 5: Solve for x
    x = 105,354,825,893.93/361,854
  6. Step 6: Final answer
    x = 291,152.86

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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.