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Finding the Fourth Proportional to 280,886.94, 387,625.31 and 153,562.50

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Solution

The fourth proportional to 280,886.94, 387,625.31 and 153,562.50 is: 211,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,886.94 : 387,625.31 = 153,562.50 : x
  2. Step 2: Convert to fraction form
    280,886.94/387,625.31 = 153,562.50/x
  3. Step 3: Cross multiply
    280,886.94x = 387,625.31 × 153,562.50
  4. Step 4: Simplify right side
    280,886.94x = 59,524,711,666.88
  5. Step 5: Solve for x
    x = 59,524,711,666.88/280,886.94
  6. Step 6: Final answer
    x = 211,916.98

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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.