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Finding the Fourth Proportional to 280,420.63, 386,978.50 and 153,096.23

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Solution

The fourth proportional to 280,420.63, 386,978.50 and 153,096.23 is: 211,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,420.63 : 386,978.50 = 153,096.23 : x
  2. Step 2: Convert to fraction form
    280,420.63/386,978.50 = 153,096.23/x
  3. Step 3: Cross multiply
    280,420.63x = 386,978.50 × 153,096.23
  4. Step 4: Simplify right side
    280,420.63x = 59,244,948,207.83
  5. Step 5: Solve for x
    x = 59,244,948,207.83/280,420.63
  6. Step 6: Final answer
    x = 211,271.72

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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.