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Finding the Fourth Proportional to 495,639, 684,040.14 and 294,435

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Solution

The fourth proportional to 495,639, 684,040.14 and 294,435 is: 406,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,639 : 684,040.14 = 294,435 : x
  2. Step 2: Convert to fraction form
    495,639/684,040.14 = 294,435/x
  3. Step 3: Cross multiply
    495,639x = 684,040.14 × 294,435
  4. Step 4: Simplify right side
    495,639x = 201,405,358,620.90
  5. Step 5: Solve for x
    x = 201,405,358,620.90/495,639
  6. Step 6: Final answer
    x = 406,354.95

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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.