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Finding the Fourth Proportional to 586,915.76, 810,136.68 and 345,188

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Solution

The fourth proportional to 586,915.76, 810,136.68 and 345,188 is: 476,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,915.76 : 810,136.68 = 345,188 : x
  2. Step 2: Convert to fraction form
    586,915.76/810,136.68 = 345,188/x
  3. Step 3: Cross multiply
    586,915.76x = 810,136.68 × 345,188
  4. Step 4: Simplify right side
    586,915.76x = 279,649,460,295.84
  5. Step 5: Solve for x
    x = 279,649,460,295.84/586,915.76
  6. Step 6: Final answer
    x = 476,472.91

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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.