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Finding the Fourth Proportional to 487,533.63, 729,877.43 and 284,507.54

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Solution

The fourth proportional to 487,533.63, 729,877.43 and 284,507.54 is: 425,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,533.63 : 729,877.43 = 284,507.54 : x
  2. Step 2: Convert to fraction form
    487,533.63/729,877.43 = 284,507.54/x
  3. Step 3: Cross multiply
    487,533.63x = 729,877.43 × 284,507.54
  4. Step 4: Simplify right side
    487,533.63x = 207,655,631,909.74
  5. Step 5: Solve for x
    x = 207,655,631,909.74/487,533.63
  6. Step 6: Final answer
    x = 425,930.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.