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Finding the Fourth Proportional to 495,875.78, 684,308.52 and 294,671.78

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Solution

The fourth proportional to 495,875.78, 684,308.52 and 294,671.78 is: 406,647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,875.78 : 684,308.52 = 294,671.78 : x
  2. Step 2: Convert to fraction form
    495,875.78/684,308.52 = 294,671.78/x
  3. Step 3: Cross multiply
    495,875.78x = 684,308.52 × 294,671.78
  4. Step 4: Simplify right side
    495,875.78x = 201,646,409,657.57
  5. Step 5: Solve for x
    x = 201,646,409,657.57/495,875.78
  6. Step 6: Final answer
    x = 406,647.02

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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.