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Finding the Fourth Proportional to 565,660.38, 780,582.42 and 310,962.36

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Solution

The fourth proportional to 565,660.38, 780,582.42 and 310,962.36 is: 429,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,660.38 : 780,582.42 = 310,962.36 : x
  2. Step 2: Convert to fraction form
    565,660.38/780,582.42 = 310,962.36/x
  3. Step 3: Cross multiply
    565,660.38x = 780,582.42 × 310,962.36
  4. Step 4: Simplify right side
    565,660.38x = 242,731,751,497.71
  5. Step 5: Solve for x
    x = 242,731,751,497.71/565,660.38
  6. Step 6: Final answer
    x = 429,112.17

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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.