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Finding the Fourth Proportional to 461,697.87, 637,153.86 and 289,623.15

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Solution

The fourth proportional to 461,697.87, 637,153.86 and 289,623.15 is: 399,686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,697.87 : 637,153.86 = 289,623.15 : x
  2. Step 2: Convert to fraction form
    461,697.87/637,153.86 = 289,623.15/x
  3. Step 3: Cross multiply
    461,697.87x = 637,153.86 × 289,623.15
  4. Step 4: Simplify right side
    461,697.87x = 184,534,507,967.86
  5. Step 5: Solve for x
    x = 184,534,507,967.86/461,697.87
  6. Step 6: Final answer
    x = 399,686.72

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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.