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Finding the Fourth Proportional to 495,890.34, 684,302.43 and 281,032.98

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Solution

The fourth proportional to 495,890.34, 684,302.43 and 281,032.98 is: 387,810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,890.34 : 684,302.43 = 281,032.98 : x
  2. Step 2: Convert to fraction form
    495,890.34/684,302.43 = 281,032.98/x
  3. Step 3: Cross multiply
    495,890.34x = 684,302.43 × 281,032.98
  4. Step 4: Simplify right side
    495,890.34x = 192,311,551,124.14
  5. Step 5: Solve for x
    x = 192,311,551,124.14/495,890.34
  6. Step 6: Final answer
    x = 387,810.64

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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.