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Finding the Fourth Proportional to 495,661.78, 684,015.08 and 269,307.28

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Solution

The fourth proportional to 495,661.78, 684,015.08 and 269,307.28 is: 371,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,661.78 : 684,015.08 = 269,307.28 : x
  2. Step 2: Convert to fraction form
    495,661.78/684,015.08 = 269,307.28/x
  3. Step 3: Cross multiply
    495,661.78x = 684,015.08 × 269,307.28
  4. Step 4: Simplify right side
    495,661.78x = 184,210,241,697.12
  5. Step 5: Solve for x
    x = 184,210,241,697.12/495,661.78
  6. Step 6: Final answer
    x = 371,645.04

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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.