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Finding the Fourth Proportional to 509,386.83, 702,957.20 and 318,511.95

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Solution

The fourth proportional to 509,386.83, 702,957.20 and 318,511.95 is: 439,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,386.83 : 702,957.20 = 318,511.95 : x
  2. Step 2: Convert to fraction form
    509,386.83/702,957.20 = 318,511.95/x
  3. Step 3: Cross multiply
    509,386.83x = 702,957.20 × 318,511.95
  4. Step 4: Simplify right side
    509,386.83x = 223,900,268,538.54
  5. Step 5: Solve for x
    x = 223,900,268,538.54/509,386.83
  6. Step 6: Final answer
    x = 439,548.60

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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.