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Finding the Fourth Proportional to 282,624.72, 390,023.40 and 155,302.80

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Solution

The fourth proportional to 282,624.72, 390,023.40 and 155,302.80 is: 214,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,624.72 : 390,023.40 = 155,302.80 : x
  2. Step 2: Convert to fraction form
    282,624.72/390,023.40 = 155,302.80/x
  3. Step 3: Cross multiply
    282,624.72x = 390,023.40 × 155,302.80
  4. Step 4: Simplify right side
    282,624.72x = 60,571,726,085.52
  5. Step 5: Solve for x
    x = 60,571,726,085.52/282,624.72
  6. Step 6: Final answer
    x = 214,318.57

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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.