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Finding the Fourth Proportional to 282,435.76, 389,648.65 and 180,434.77

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Solution

The fourth proportional to 282,435.76, 389,648.65 and 180,434.77 is: 248,927.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,435.76 : 389,648.65 = 180,434.77 : x
  2. Step 2: Convert to fraction form
    282,435.76/389,648.65 = 180,434.77/x
  3. Step 3: Cross multiply
    282,435.76x = 389,648.65 × 180,434.77
  4. Step 4: Simplify right side
    282,435.76x = 70,306,164,543.56
  5. Step 5: Solve for x
    x = 70,306,164,543.56/282,435.76
  6. Step 6: Final answer
    x = 248,927.98

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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.