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Finding the Fourth Proportional to 557,075.28, 768,773.16 and 302,426.52

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Solution

The fourth proportional to 557,075.28, 768,773.16 and 302,426.52 is: 417,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,075.28 : 768,773.16 = 302,426.52 : x
  2. Step 2: Convert to fraction form
    557,075.28/768,773.16 = 302,426.52/x
  3. Step 3: Cross multiply
    557,075.28x = 768,773.16 × 302,426.52
  4. Step 4: Simplify right side
    557,075.28x = 232,497,391,448.20
  5. Step 5: Solve for x
    x = 232,497,391,448.20/557,075.28
  6. Step 6: Final answer
    x = 417,353.63

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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.