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Finding the Fourth Proportional to 557,005.16, 768,451.80 and 315,232.28

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Solution

The fourth proportional to 557,005.16, 768,451.80 and 315,232.28 is: 434,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,005.16 : 768,451.80 = 315,232.28 : x
  2. Step 2: Convert to fraction form
    557,005.16/768,451.80 = 315,232.28/x
  3. Step 3: Cross multiply
    557,005.16x = 768,451.80 × 315,232.28
  4. Step 4: Simplify right side
    557,005.16x = 242,240,812,984.10
  5. Step 5: Solve for x
    x = 242,240,812,984.10/557,005.16
  6. Step 6: Final answer
    x = 434,898.69

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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.