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Finding the Fourth Proportional to 659,360.16, 988,313.64 and 431,381.81

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Solution

The fourth proportional to 659,360.16, 988,313.64 and 431,381.81 is: 646,597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,360.16 : 988,313.64 = 431,381.81 : x
  2. Step 2: Convert to fraction form
    659,360.16/988,313.64 = 431,381.81/x
  3. Step 3: Cross multiply
    659,360.16x = 988,313.64 × 431,381.81
  4. Step 4: Simplify right side
    659,360.16x = 426,340,521,929.32
  5. Step 5: Solve for x
    x = 426,340,521,929.32/659,360.16
  6. Step 6: Final answer
    x = 646,597.33

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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.