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Finding the Fourth Proportional to 917,136, 1,265,647.68 and 514,728

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Solution

The fourth proportional to 917,136, 1,265,647.68 and 514,728 is: 710,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,136 : 1,265,647.68 = 514,728 : x
  2. Step 2: Convert to fraction form
    917,136/1,265,647.68 = 514,728/x
  3. Step 3: Cross multiply
    917,136x = 1,265,647.68 × 514,728
  4. Step 4: Simplify right side
    917,136x = 651,464,299,031.04
  5. Step 5: Solve for x
    x = 651,464,299,031.04/917,136
  6. Step 6: Final answer
    x = 710,324.64

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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.