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Finding the Fourth Proportional to 497,502, 686,571.30 and 282,678.45

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Solution

The fourth proportional to 497,502, 686,571.30 and 282,678.45 is: 390,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,502 : 686,571.30 = 282,678.45 : x
  2. Step 2: Convert to fraction form
    497,502/686,571.30 = 282,678.45/x
  3. Step 3: Cross multiply
    497,502x = 686,571.30 × 282,678.45
  4. Step 4: Simplify right side
    497,502x = 194,078,910,898.49
  5. Step 5: Solve for x
    x = 194,078,910,898.49/497,502
  6. Step 6: Final answer
    x = 390,106.80

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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.