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Finding the Fourth Proportional to 280,114, 386,562.58 and 152,794.14

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Solution

The fourth proportional to 280,114, 386,562.58 and 152,794.14 is: 210,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,114 : 386,562.58 = 152,794.14 : x
  2. Step 2: Convert to fraction form
    280,114/386,562.58 = 152,794.14/x
  3. Step 3: Cross multiply
    280,114x = 386,562.58 × 152,794.14
  4. Step 4: Simplify right side
    280,114x = 59,064,496,967.28
  5. Step 5: Solve for x
    x = 59,064,496,967.28/280,114
  6. Step 6: Final answer
    x = 210,858.78

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1.5x scale

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.