Home / 380,678.40-570,823.20-140,780.16

Finding the Fourth Proportional to 380,678.40, 570,823.20 and 140,780.16

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Solution

The fourth proportional to 380,678.40, 570,823.20 and 140,780.16 is: 211,098.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,678.40 : 570,823.20 = 140,780.16 : x
  2. Step 2: Convert to fraction form
    380,678.40/570,823.20 = 140,780.16/x
  3. Step 3: Cross multiply
    380,678.40x = 570,823.20 × 140,780.16
  4. Step 4: Simplify right side
    380,678.40x = 80,360,581,427.71
  5. Step 5: Solve for x
    x = 80,360,581,427.71/380,678.40
  6. Step 6: Final answer
    x = 211,098.35

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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.