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Finding the Fourth Proportional to 282,050.94, 389,228.36 and 152,988.89

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Solution

The fourth proportional to 282,050.94, 389,228.36 and 152,988.89 is: 211,123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,050.94 : 389,228.36 = 152,988.89 : x
  2. Step 2: Convert to fraction form
    282,050.94/389,228.36 = 152,988.89/x
  3. Step 3: Cross multiply
    282,050.94x = 389,228.36 × 152,988.89
  4. Step 4: Simplify right side
    282,050.94x = 59,547,614,974.74
  5. Step 5: Solve for x
    x = 59,547,614,974.74/282,050.94
  6. Step 6: Final answer
    x = 211,123.62

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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.