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Finding the Fourth Proportional to 397,411.65, 596,117.48 and 308,728.80

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Solution

The fourth proportional to 397,411.65, 596,117.48 and 308,728.80 is: 463,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,411.65 : 596,117.48 = 308,728.80 : x
  2. Step 2: Convert to fraction form
    397,411.65/596,117.48 = 308,728.80/x
  3. Step 3: Cross multiply
    397,411.65x = 596,117.48 × 308,728.80
  4. Step 4: Simplify right side
    397,411.65x = 184,038,632,715.78
  5. Step 5: Solve for x
    x = 184,038,632,715.78/397,411.65
  6. Step 6: Final answer
    x = 463,093.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.