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Finding the Fourth Proportional to 687,465, 948,708.18 and 385,665.48

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Solution

The fourth proportional to 687,465, 948,708.18 and 385,665.48 is: 532,222.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,465 : 948,708.18 = 385,665.48 : x
  2. Step 2: Convert to fraction form
    687,465/948,708.18 = 385,665.48/x
  3. Step 3: Cross multiply
    687,465x = 948,708.18 × 385,665.48
  4. Step 4: Simplify right side
    687,465x = 365,883,995,619.63
  5. Step 5: Solve for x
    x = 365,883,995,619.63/687,465
  6. Step 6: Final answer
    x = 532,222.00

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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.