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Finding the Fourth Proportional to 497,809.80, 686,936.70 and 282,900.60

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Solution

The fourth proportional to 497,809.80, 686,936.70 and 282,900.60 is: 390,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,809.80 : 686,936.70 = 282,900.60 : x
  2. Step 2: Convert to fraction form
    497,809.80/686,936.70 = 282,900.60/x
  3. Step 3: Cross multiply
    497,809.80x = 686,936.70 × 282,900.60
  4. Step 4: Simplify right side
    497,809.80x = 194,334,804,592.02
  5. Step 5: Solve for x
    x = 194,334,804,592.02/497,809.80
  6. Step 6: Final answer
    x = 390,379.63

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1.5x scale

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.