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Finding the Fourth Proportional to 315,807.53, 435,809.16 and 172,564.49

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Solution

The fourth proportional to 315,807.53, 435,809.16 and 172,564.49 is: 238,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,807.53 : 435,809.16 = 172,564.49 : x
  2. Step 2: Convert to fraction form
    315,807.53/435,809.16 = 172,564.49/x
  3. Step 3: Cross multiply
    315,807.53x = 435,809.16 × 172,564.49
  4. Step 4: Simplify right side
    315,807.53x = 75,205,186,522.25
  5. Step 5: Solve for x
    x = 75,205,186,522.25/315,807.53
  6. Step 6: Final answer
    x = 238,136.14

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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.