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Finding the Fourth Proportional to 280,409.89, 386,951 and 153,060.88

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Solution

The fourth proportional to 280,409.89, 386,951 and 153,060.88 is: 211,216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,409.89 : 386,951 = 153,060.88 : x
  2. Step 2: Convert to fraction form
    280,409.89/386,951 = 153,060.88/x
  3. Step 3: Cross multiply
    280,409.89x = 386,951 × 153,060.88
  4. Step 4: Simplify right side
    280,409.89x = 59,227,058,642.13
  5. Step 5: Solve for x
    x = 59,227,058,642.13/280,409.89
  6. Step 6: Final answer
    x = 211,216.02

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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.