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Finding the Fourth Proportional to 567,468.60, 783,112 and 312,828.92

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Solution

The fourth proportional to 567,468.60, 783,112 and 312,828.92 is: 431,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,468.60 : 783,112 = 312,828.92 : x
  2. Step 2: Convert to fraction form
    567,468.60/783,112 = 312,828.92/x
  3. Step 3: Cross multiply
    567,468.60x = 783,112 × 312,828.92
  4. Step 4: Simplify right side
    567,468.60x = 244,980,081,199.04
  5. Step 5: Solve for x
    x = 244,980,081,199.04/567,468.60
  6. Step 6: Final answer
    x = 431,706.85

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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.