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Finding the Fourth Proportional to 419,506.53, 578,875.86 and 235,715.91

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Solution

The fourth proportional to 419,506.53, 578,875.86 and 235,715.91 is: 325,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,506.53 : 578,875.86 = 235,715.91 : x
  2. Step 2: Convert to fraction form
    419,506.53/578,875.86 = 235,715.91/x
  3. Step 3: Cross multiply
    419,506.53x = 578,875.86 × 235,715.91
  4. Step 4: Simplify right side
    419,506.53x = 136,450,250,116.93
  5. Step 5: Solve for x
    x = 136,450,250,116.93/419,506.53
  6. Step 6: Final answer
    x = 325,263.71

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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.