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Finding the Fourth Proportional to 280,956.60, 387,714.21 and 153,632.10

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Solution

The fourth proportional to 280,956.60, 387,714.21 and 153,632.10 is: 212,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,956.60 : 387,714.21 = 153,632.10 : x
  2. Step 2: Convert to fraction form
    280,956.60/387,714.21 = 153,632.10/x
  3. Step 3: Cross multiply
    280,956.60x = 387,714.21 × 153,632.10
  4. Step 4: Simplify right side
    280,956.60x = 59,565,348,282.14
  5. Step 5: Solve for x
    x = 59,565,348,282.14/280,956.60
  6. Step 6: Final answer
    x = 212,009.07

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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.