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Finding the Fourth Proportional to 282,963.50, 390,545.10 and 162,185.75

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Solution

The fourth proportional to 282,963.50, 390,545.10 and 162,185.75 is: 223,848.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,963.50 : 390,545.10 = 162,185.75 : x
  2. Step 2: Convert to fraction form
    282,963.50/390,545.10 = 162,185.75/x
  3. Step 3: Cross multiply
    282,963.50x = 390,545.10 × 162,185.75
  4. Step 4: Simplify right side
    282,963.50x = 63,340,849,952.33
  5. Step 5: Solve for x
    x = 63,340,849,952.33/282,963.50
  6. Step 6: Final answer
    x = 223,848.13

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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.