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Finding the Fourth Proportional to 407,346, 610,819 and 167,416.40

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Solution

The fourth proportional to 407,346, 610,819 and 167,416.40 is: 251,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,346 : 610,819 = 167,416.40 : x
  2. Step 2: Convert to fraction form
    407,346/610,819 = 167,416.40/x
  3. Step 3: Cross multiply
    407,346x = 610,819 × 167,416.40
  4. Step 4: Simplify right side
    407,346x = 102,261,118,031.60
  5. Step 5: Solve for x
    x = 102,261,118,031.60/407,346
  6. Step 6: Final answer
    x = 251,042.40

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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.