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Finding the Fourth Proportional to 497,469.64, 686,510.42 and 282,621.49

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Solution

The fourth proportional to 497,469.64, 686,510.42 and 282,621.49 is: 390,018.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,469.64 : 686,510.42 = 282,621.49 : x
  2. Step 2: Convert to fraction form
    497,469.64/686,510.42 = 282,621.49/x
  3. Step 3: Cross multiply
    497,469.64x = 686,510.42 × 282,621.49
  4. Step 4: Simplify right side
    497,469.64x = 194,022,598,507.48
  5. Step 5: Solve for x
    x = 194,022,598,507.48/497,469.64
  6. Step 6: Final answer
    x = 390,018.98

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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.