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Finding the Fourth Proportional to 585,458, 807,921.46 and 330,803.72

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Solution

The fourth proportional to 585,458, 807,921.46 and 330,803.72 is: 456,503.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,458 : 807,921.46 = 330,803.72 : x
  2. Step 2: Convert to fraction form
    585,458/807,921.46 = 330,803.72/x
  3. Step 3: Cross multiply
    585,458x = 807,921.46 × 330,803.72
  4. Step 4: Simplify right side
    585,458x = 267,263,424,435.83
  5. Step 5: Solve for x
    x = 267,263,424,435.83/585,458
  6. Step 6: Final answer
    x = 456,503.16

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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.