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Finding the Fourth Proportional to 407,582, 562,515 and 228,734

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Solution

The fourth proportional to 407,582, 562,515 and 228,734 is: 315,682.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,582 : 562,515 = 228,734 : x
  2. Step 2: Convert to fraction form
    407,582/562,515 = 228,734/x
  3. Step 3: Cross multiply
    407,582x = 562,515 × 228,734
  4. Step 4: Simplify right side
    407,582x = 128,666,306,010
  5. Step 5: Solve for x
    x = 128,666,306,010/407,582
  6. Step 6: Final answer
    x = 315,682.01

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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.