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Finding the Fourth Proportional to 585,804.16, 878,881.60 and 305,518.72

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Solution

The fourth proportional to 585,804.16, 878,881.60 and 305,518.72 is: 458,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,804.16 : 878,881.60 = 305,518.72 : x
  2. Step 2: Convert to fraction form
    585,804.16/878,881.60 = 305,518.72/x
  3. Step 3: Cross multiply
    585,804.16x = 878,881.60 × 305,518.72
  4. Step 4: Simplify right side
    585,804.16x = 268,514,781,463.55
  5. Step 5: Solve for x
    x = 268,514,781,463.55/585,804.16
  6. Step 6: Final answer
    x = 458,369.54

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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.