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Finding the Fourth Proportional to 497,680.48, 686,806.56 and 282,825.28

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Solution

The fourth proportional to 497,680.48, 686,806.56 and 282,825.28 is: 390,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,680.48 : 686,806.56 = 282,825.28 : x
  2. Step 2: Convert to fraction form
    497,680.48/686,806.56 = 282,825.28/x
  3. Step 3: Cross multiply
    497,680.48x = 686,806.56 × 282,825.28
  4. Step 4: Simplify right side
    497,680.48x = 194,246,257,637.84
  5. Step 5: Solve for x
    x = 194,246,257,637.84/497,680.48
  6. Step 6: Final answer
    x = 390,303.15

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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.