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Finding the Fourth Proportional to 917,783.04, 1,266,546.60 and 509,880

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Solution

The fourth proportional to 917,783.04, 1,266,546.60 and 509,880 is: 703,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,783.04 : 1,266,546.60 = 509,880 : x
  2. Step 2: Convert to fraction form
    917,783.04/1,266,546.60 = 509,880/x
  3. Step 3: Cross multiply
    917,783.04x = 1,266,546.60 × 509,880
  4. Step 4: Simplify right side
    917,783.04x = 645,786,780,408
  5. Step 5: Solve for x
    x = 645,786,780,408/917,783.04
  6. Step 6: Final answer
    x = 703,637.74

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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.