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Finding the Fourth Proportional to 497,894.64, 686,976.48 and 283,017.84

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Solution

The fourth proportional to 497,894.64, 686,976.48 and 283,017.84 is: 390,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,894.64 : 686,976.48 = 283,017.84 : x
  2. Step 2: Convert to fraction form
    497,894.64/686,976.48 = 283,017.84/x
  3. Step 3: Cross multiply
    497,894.64x = 686,976.48 × 283,017.84
  4. Step 4: Simplify right side
    497,894.64x = 194,426,599,500.40
  5. Step 5: Solve for x
    x = 194,426,599,500.40/497,894.64
  6. Step 6: Final answer
    x = 390,497.47

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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.