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Finding the Fourth Proportional to 407,578, 562,509.48 and 228,730

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Solution

The fourth proportional to 407,578, 562,509.48 and 228,730 is: 315,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,578 : 562,509.48 = 228,730 : x
  2. Step 2: Convert to fraction form
    407,578/562,509.48 = 228,730/x
  3. Step 3: Cross multiply
    407,578x = 562,509.48 × 228,730
  4. Step 4: Simplify right side
    407,578x = 128,662,793,360.40
  5. Step 5: Solve for x
    x = 128,662,793,360.40/407,578
  6. Step 6: Final answer
    x = 315,676.49

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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.