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Finding the Fourth Proportional to 924,128, 1,275,300.48 and 500,192

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Solution

The fourth proportional to 924,128, 1,275,300.48 and 500,192 is: 690,267.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,128 : 1,275,300.48 = 500,192 : x
  2. Step 2: Convert to fraction form
    924,128/1,275,300.48 = 500,192/x
  3. Step 3: Cross multiply
    924,128x = 1,275,300.48 × 500,192
  4. Step 4: Simplify right side
    924,128x = 637,895,097,692.16
  5. Step 5: Solve for x
    x = 637,895,097,692.16/924,128
  6. Step 6: Final answer
    x = 690,267.04

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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.