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Finding the Fourth Proportional to 286,483.25, 429,724.95 and 106,545.16

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Solution

The fourth proportional to 286,483.25, 429,724.95 and 106,545.16 is: 159,817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,483.25 : 429,724.95 = 106,545.16 : x
  2. Step 2: Convert to fraction form
    286,483.25/429,724.95 = 106,545.16/x
  3. Step 3: Cross multiply
    286,483.25x = 429,724.95 × 106,545.16
  4. Step 4: Simplify right side
    286,483.25x = 45,785,114,628.05
  5. Step 5: Solve for x
    x = 45,785,114,628.05/286,483.25
  6. Step 6: Final answer
    x = 159,817.77

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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.