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Finding the Fourth Proportional to 495,393.23, 683,642.63 and 280,574.82

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Solution

The fourth proportional to 495,393.23, 683,642.63 and 280,574.82 is: 387,193.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,393.23 : 683,642.63 = 280,574.82 : x
  2. Step 2: Convert to fraction form
    495,393.23/683,642.63 = 280,574.82/x
  3. Step 3: Cross multiply
    495,393.23x = 683,642.63 × 280,574.82
  4. Step 4: Simplify right side
    495,393.23x = 191,812,908,558.01
  5. Step 5: Solve for x
    x = 191,812,908,558.01/495,393.23
  6. Step 6: Final answer
    x = 387,193.24

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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.