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Finding the Fourth Proportional to 282,398.40, 423,925.65 and 170,205.30

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Solution

The fourth proportional to 282,398.40, 423,925.65 and 170,205.30 is: 255,505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,398.40 : 423,925.65 = 170,205.30 : x
  2. Step 2: Convert to fraction form
    282,398.40/423,925.65 = 170,205.30/x
  3. Step 3: Cross multiply
    282,398.40x = 423,925.65 × 170,205.30
  4. Step 4: Simplify right side
    282,398.40x = 72,154,392,435.95
  5. Step 5: Solve for x
    x = 72,154,392,435.95/282,398.40
  6. Step 6: Final answer
    x = 255,505.67

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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.