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Finding the Fourth Proportional to 570,930.63, 787,826.85 and 316,234.23

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Solution

The fourth proportional to 570,930.63, 787,826.85 and 316,234.23 is: 436,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,930.63 : 787,826.85 = 316,234.23 : x
  2. Step 2: Convert to fraction form
    570,930.63/787,826.85 = 316,234.23/x
  3. Step 3: Cross multiply
    570,930.63x = 787,826.85 × 316,234.23
  4. Step 4: Simplify right side
    570,930.63x = 249,137,817,283.08
  5. Step 5: Solve for x
    x = 249,137,817,283.08/570,930.63
  6. Step 6: Final answer
    x = 436,371.43

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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.