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Finding the Fourth Proportional to 458,960.30, 688,012.44 and 155,143.08

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Solution

The fourth proportional to 458,960.30, 688,012.44 and 155,143.08 is: 232,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,960.30 : 688,012.44 = 155,143.08 : x
  2. Step 2: Convert to fraction form
    458,960.30/688,012.44 = 155,143.08/x
  3. Step 3: Cross multiply
    458,960.30x = 688,012.44 × 155,143.08
  4. Step 4: Simplify right side
    458,960.30x = 106,740,369,019.92
  5. Step 5: Solve for x
    x = 106,740,369,019.92/458,960.30
  6. Step 6: Final answer
    x = 232,569.94

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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.