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Finding the Fourth Proportional to 497,018, 685,949.64 and 295,814

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Solution

The fourth proportional to 497,018, 685,949.64 and 295,814 is: 408,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,018 : 685,949.64 = 295,814 : x
  2. Step 2: Convert to fraction form
    497,018/685,949.64 = 295,814/x
  3. Step 3: Cross multiply
    497,018x = 685,949.64 × 295,814
  4. Step 4: Simplify right side
    497,018x = 202,913,506,806.96
  5. Step 5: Solve for x
    x = 202,913,506,806.96/497,018
  6. Step 6: Final answer
    x = 408,261.89

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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.