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Finding the Fourth Proportional to 581,563.94, 802,300.96 and 387,784.80

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Solution

The fourth proportional to 581,563.94, 802,300.96 and 387,784.80 is: 534,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,563.94 : 802,300.96 = 387,784.80 : x
  2. Step 2: Convert to fraction form
    581,563.94/802,300.96 = 387,784.80/x
  3. Step 3: Cross multiply
    581,563.94x = 802,300.96 × 387,784.80
  4. Step 4: Simplify right side
    581,563.94x = 311,120,117,313.41
  5. Step 5: Solve for x
    x = 311,120,117,313.41/581,563.94
  6. Step 6: Final answer
    x = 534,971.47

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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.