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Finding the Fourth Proportional to 497,090.23, 686,056.08 and 359,715.20

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Solution

The fourth proportional to 497,090.23, 686,056.08 and 359,715.20 is: 496,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,090.23 : 686,056.08 = 359,715.20 : x
  2. Step 2: Convert to fraction form
    497,090.23/686,056.08 = 359,715.20/x
  3. Step 3: Cross multiply
    497,090.23x = 686,056.08 × 359,715.20
  4. Step 4: Simplify right side
    497,090.23x = 246,784,795,923.67
  5. Step 5: Solve for x
    x = 246,784,795,923.67/497,090.23
  6. Step 6: Final answer
    x = 496,458.75

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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.