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Finding the Fourth Proportional to 375,220.08, 562,341.96 and 286,146

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Solution

The fourth proportional to 375,220.08, 562,341.96 and 286,146 is: 428,846.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,220.08 : 562,341.96 = 286,146 : x
  2. Step 2: Convert to fraction form
    375,220.08/562,341.96 = 286,146/x
  3. Step 3: Cross multiply
    375,220.08x = 562,341.96 × 286,146
  4. Step 4: Simplify right side
    375,220.08x = 160,911,902,486.16
  5. Step 5: Solve for x
    x = 160,911,902,486.16/375,220.08
  6. Step 6: Final answer
    x = 428,846.73

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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.