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Finding the Fourth Proportional to 495,444.71, 683,690.78 and 280,586.31

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Solution

The fourth proportional to 495,444.71, 683,690.78 and 280,586.31 is: 387,196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,444.71 : 683,690.78 = 280,586.31 : x
  2. Step 2: Convert to fraction form
    495,444.71/683,690.78 = 280,586.31/x
  3. Step 3: Cross multiply
    495,444.71x = 683,690.78 × 280,586.31
  4. Step 4: Simplify right side
    495,444.71x = 191,834,271,738.29
  5. Step 5: Solve for x
    x = 191,834,271,738.29/495,444.71
  6. Step 6: Final answer
    x = 387,196.13

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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.