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Finding the Fourth Proportional to 328,298.14, 492,447.21 and 78,980.14

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Solution

The fourth proportional to 328,298.14, 492,447.21 and 78,980.14 is: 118,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,298.14 : 492,447.21 = 78,980.14 : x
  2. Step 2: Convert to fraction form
    328,298.14/492,447.21 = 78,980.14/x
  3. Step 3: Cross multiply
    328,298.14x = 492,447.21 × 78,980.14
  4. Step 4: Simplify right side
    328,298.14x = 38,893,549,588.41
  5. Step 5: Solve for x
    x = 38,893,549,588.41/328,298.14
  6. Step 6: Final answer
    x = 118,470.21

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1.5x scale

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.