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Finding the Fourth Proportional to 523,814.40, 785,721.60 and 149,837.40

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Solution

The fourth proportional to 523,814.40, 785,721.60 and 149,837.40 is: 224,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,814.40 : 785,721.60 = 149,837.40 : x
  2. Step 2: Convert to fraction form
    523,814.40/785,721.60 = 149,837.40/x
  3. Step 3: Cross multiply
    523,814.40x = 785,721.60 × 149,837.40
  4. Step 4: Simplify right side
    523,814.40x = 117,730,481,667.84
  5. Step 5: Solve for x
    x = 117,730,481,667.84/523,814.40
  6. Step 6: Final answer
    x = 224,756.10

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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.