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Finding the Fourth Proportional to 495,885.72, 684,651.84 and 380,959.68

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Solution

The fourth proportional to 495,885.72, 684,651.84 and 380,959.68 is: 525,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,885.72 : 684,651.84 = 380,959.68 : x
  2. Step 2: Convert to fraction form
    495,885.72/684,651.84 = 380,959.68/x
  3. Step 3: Cross multiply
    495,885.72x = 684,651.84 × 380,959.68
  4. Step 4: Simplify right side
    495,885.72x = 260,824,745,877.81
  5. Step 5: Solve for x
    x = 260,824,745,877.81/495,885.72
  6. Step 6: Final answer
    x = 525,977.53

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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.