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Finding the Fourth Proportional to 873,136, 1,309,704.30 and 392,802.70

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Solution

The fourth proportional to 873,136, 1,309,704.30 and 392,802.70 is: 589,204.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,136 : 1,309,704.30 = 392,802.70 : x
  2. Step 2: Convert to fraction form
    873,136/1,309,704.30 = 392,802.70/x
  3. Step 3: Cross multiply
    873,136x = 1,309,704.30 × 392,802.70
  4. Step 4: Simplify right side
    873,136x = 514,455,385,241.61
  5. Step 5: Solve for x
    x = 514,455,385,241.61/873,136
  6. Step 6: Final answer
    x = 589,204.18

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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.