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Finding the Fourth Proportional to 497,584.76, 686,641.04 and 282,695

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Solution

The fourth proportional to 497,584.76, 686,641.04 and 282,695 is: 390,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,584.76 : 686,641.04 = 282,695 : x
  2. Step 2: Convert to fraction form
    497,584.76/686,641.04 = 282,695/x
  3. Step 3: Cross multiply
    497,584.76x = 686,641.04 × 282,695
  4. Step 4: Simplify right side
    497,584.76x = 194,109,988,802.80
  5. Step 5: Solve for x
    x = 194,109,988,802.80/497,584.76
  6. Step 6: Final answer
    x = 390,104.37

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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.