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Finding the Fourth Proportional to 368,433, 508,437.54 and 209,457

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Solution

The fourth proportional to 368,433, 508,437.54 and 209,457 is: 289,050.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,433 : 508,437.54 = 209,457 : x
  2. Step 2: Convert to fraction form
    368,433/508,437.54 = 209,457/x
  3. Step 3: Cross multiply
    368,433x = 508,437.54 × 209,457
  4. Step 4: Simplify right side
    368,433x = 106,495,801,815.78
  5. Step 5: Solve for x
    x = 106,495,801,815.78/368,433
  6. Step 6: Final answer
    x = 289,050.66

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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.