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Finding the Fourth Proportional to 280,710.76, 387,407.94 and 153,405.64

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Solution

The fourth proportional to 280,710.76, 387,407.94 and 153,405.64 is: 211,714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,710.76 : 387,407.94 = 153,405.64 : x
  2. Step 2: Convert to fraction form
    280,710.76/387,407.94 = 153,405.64/x
  3. Step 3: Cross multiply
    280,710.76x = 387,407.94 × 153,405.64
  4. Step 4: Simplify right side
    280,710.76x = 59,430,562,976.78
  5. Step 5: Solve for x
    x = 59,430,562,976.78/280,710.76
  6. Step 6: Final answer
    x = 211,714.59

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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.