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Finding the Fourth Proportional to 523,315.20, 785,894.40 and 405,273.60

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Solution

The fourth proportional to 523,315.20, 785,894.40 and 405,273.60 is: 608,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,315.20 : 785,894.40 = 405,273.60 : x
  2. Step 2: Convert to fraction form
    523,315.20/785,894.40 = 405,273.60/x
  3. Step 3: Cross multiply
    523,315.20x = 785,894.40 × 405,273.60
  4. Step 4: Simplify right side
    523,315.20x = 318,502,252,707.84
  5. Step 5: Solve for x
    x = 318,502,252,707.84/523,315.20
  6. Step 6: Final answer
    x = 608,624.12

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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.