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Finding the Fourth Proportional to 286,987.88, 430,492.68 and 146,582.48

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Solution

The fourth proportional to 286,987.88, 430,492.68 and 146,582.48 is: 219,879.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,987.88 : 430,492.68 = 146,582.48 : x
  2. Step 2: Convert to fraction form
    286,987.88/430,492.68 = 146,582.48/x
  3. Step 3: Cross multiply
    286,987.88x = 430,492.68 × 146,582.48
  4. Step 4: Simplify right side
    286,987.88x = 63,102,684,656.25
  5. Step 5: Solve for x
    x = 63,102,684,656.25/286,987.88
  6. Step 6: Final answer
    x = 219,879.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.