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Finding the Fourth Proportional to 924,576, 1,275,914.88 and 500,640

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Solution

The fourth proportional to 924,576, 1,275,914.88 and 500,640 is: 690,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,576 : 1,275,914.88 = 500,640 : x
  2. Step 2: Convert to fraction form
    924,576/1,275,914.88 = 500,640/x
  3. Step 3: Cross multiply
    924,576x = 1,275,914.88 × 500,640
  4. Step 4: Simplify right side
    924,576x = 638,774,025,523.20
  5. Step 5: Solve for x
    x = 638,774,025,523.20/924,576
  6. Step 6: Final answer
    x = 690,883.20

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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.