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Finding the Fourth Proportional to 580,278.42, 870,376.32 and 153,804.77

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Solution

The fourth proportional to 580,278.42, 870,376.32 and 153,804.77 is: 230,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,278.42 : 870,376.32 = 153,804.77 : x
  2. Step 2: Convert to fraction form
    580,278.42/870,376.32 = 153,804.77/x
  3. Step 3: Cross multiply
    580,278.42x = 870,376.32 × 153,804.77
  4. Step 4: Simplify right side
    580,278.42x = 133,868,029,199.84
  5. Step 5: Solve for x
    x = 133,868,029,199.84/580,278.42
  6. Step 6: Final answer
    x = 230,696.20

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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.