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Finding the Fourth Proportional to 506,991.60, 760,487.40 and 320,828.40

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Solution

The fourth proportional to 506,991.60, 760,487.40 and 320,828.40 is: 481,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,991.60 : 760,487.40 = 320,828.40 : x
  2. Step 2: Convert to fraction form
    506,991.60/760,487.40 = 320,828.40/x
  3. Step 3: Cross multiply
    506,991.60x = 760,487.40 × 320,828.40
  4. Step 4: Simplify right side
    506,991.60x = 243,985,955,762.16
  5. Step 5: Solve for x
    x = 243,985,955,762.16/506,991.60
  6. Step 6: Final answer
    x = 481,242.60

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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.