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Finding the Fourth Proportional to 280,970.76, 387,739.80 and 153,658.20

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Solution

The fourth proportional to 280,970.76, 387,739.80 and 153,658.20 is: 212,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,970.76 : 387,739.80 = 153,658.20 : x
  2. Step 2: Convert to fraction form
    280,970.76/387,739.80 = 153,658.20/x
  3. Step 3: Cross multiply
    280,970.76x = 387,739.80 × 153,658.20
  4. Step 4: Simplify right side
    280,970.76x = 59,579,399,736.36
  5. Step 5: Solve for x
    x = 59,579,399,736.36/280,970.76
  6. Step 6: Final answer
    x = 212,048.40

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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.