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Finding the Fourth Proportional to 280,152.74, 386,610.26 and 152,828.30

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Solution

The fourth proportional to 280,152.74, 386,610.26 and 152,828.30 is: 210,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,152.74 : 386,610.26 = 152,828.30 : x
  2. Step 2: Convert to fraction form
    280,152.74/386,610.26 = 152,828.30/x
  3. Step 3: Cross multiply
    280,152.74x = 386,610.26 × 152,828.30
  4. Step 4: Simplify right side
    280,152.74x = 59,084,988,798.36
  5. Step 5: Solve for x
    x = 59,084,988,798.36/280,152.74
  6. Step 6: Final answer
    x = 210,902.77

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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.