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Finding the Fourth Proportional to 570,462.32, 787,206.74 and 312,289.32

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Solution

The fourth proportional to 570,462.32, 787,206.74 and 312,289.32 is: 430,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,462.32 : 787,206.74 = 312,289.32 : x
  2. Step 2: Convert to fraction form
    570,462.32/787,206.74 = 312,289.32/x
  3. Step 3: Cross multiply
    570,462.32x = 787,206.74 × 312,289.32
  4. Step 4: Simplify right side
    570,462.32x = 245,836,257,534.02
  5. Step 5: Solve for x
    x = 245,836,257,534.02/570,462.32
  6. Step 6: Final answer
    x = 430,942.15

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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.