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Finding the Fourth Proportional to 497,564.16, 686,638.72 and 282,704.50

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Solution

The fourth proportional to 497,564.16, 686,638.72 and 282,704.50 is: 390,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,564.16 : 686,638.72 = 282,704.50 : x
  2. Step 2: Convert to fraction form
    497,564.16/686,638.72 = 282,704.50/x
  3. Step 3: Cross multiply
    497,564.16x = 686,638.72 × 282,704.50
  4. Step 4: Simplify right side
    497,564.16x = 194,115,856,018.24
  5. Step 5: Solve for x
    x = 194,115,856,018.24/497,564.16
  6. Step 6: Final answer
    x = 390,132.31

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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.