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Finding the Fourth Proportional to 282,802, 390,269.29 and 153,740.74

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Solution

The fourth proportional to 282,802, 390,269.29 and 153,740.74 is: 212,163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,802 : 390,269.29 = 153,740.74 : x
  2. Step 2: Convert to fraction form
    282,802/390,269.29 = 153,740.74/x
  3. Step 3: Cross multiply
    282,802x = 390,269.29 × 153,740.74
  4. Step 4: Simplify right side
    282,802x = 60,000,289,443.87
  5. Step 5: Solve for x
    x = 60,000,289,443.87/282,802
  6. Step 6: Final answer
    x = 212,163.60

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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.