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Finding the Fourth Proportional to 570,509.70, 787,315.48 and 312,397.54

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Solution

The fourth proportional to 570,509.70, 787,315.48 and 312,397.54 is: 431,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,509.70 : 787,315.48 = 312,397.54 : x
  2. Step 2: Convert to fraction form
    570,509.70/787,315.48 = 312,397.54/x
  3. Step 3: Cross multiply
    570,509.70x = 787,315.48 × 312,397.54
  4. Step 4: Simplify right side
    570,509.70x = 245,955,419,155.92
  5. Step 5: Solve for x
    x = 245,955,419,155.92/570,509.70
  6. Step 6: Final answer
    x = 431,115.23

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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.