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Finding the Fourth Proportional to 495,702.78, 684,068.43 and 269,348.22

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Solution

The fourth proportional to 495,702.78, 684,068.43 and 269,348.22 is: 371,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,702.78 : 684,068.43 = 269,348.22 : x
  2. Step 2: Convert to fraction form
    495,702.78/684,068.43 = 269,348.22/x
  3. Step 3: Cross multiply
    495,702.78x = 684,068.43 × 269,348.22
  4. Step 4: Simplify right side
    495,702.78x = 184,252,613,978.70
  5. Step 5: Solve for x
    x = 184,252,613,978.70/495,702.78
  6. Step 6: Final answer
    x = 371,699.78

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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.