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Finding the Fourth Proportional to 280,957.10, 387,714.90 and 153,632.60

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Solution

The fourth proportional to 280,957.10, 387,714.90 and 153,632.60 is: 212,009.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,957.10 : 387,714.90 = 153,632.60 : x
  2. Step 2: Convert to fraction form
    280,957.10/387,714.90 = 153,632.60/x
  3. Step 3: Cross multiply
    280,957.10x = 387,714.90 × 153,632.60
  4. Step 4: Simplify right side
    280,957.10x = 59,565,648,145.74
  5. Step 5: Solve for x
    x = 59,565,648,145.74/280,957.10
  6. Step 6: Final answer
    x = 212,009.76

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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.