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Finding the Fourth Proportional to 280,714.44, 387,386.40 and 153,387.30

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Solution

The fourth proportional to 280,714.44, 387,386.40 and 153,387.30 is: 211,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,714.44 : 387,386.40 = 153,387.30 : x
  2. Step 2: Convert to fraction form
    280,714.44/387,386.40 = 153,387.30/x
  3. Step 3: Cross multiply
    280,714.44x = 387,386.40 × 153,387.30
  4. Step 4: Simplify right side
    280,714.44x = 59,420,153,952.72
  5. Step 5: Solve for x
    x = 59,420,153,952.72/280,714.44
  6. Step 6: Final answer
    x = 211,674.73

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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.