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Finding the Fourth Proportional to 509,396.58, 702,970.65 and 318,521.70

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Solution

The fourth proportional to 509,396.58, 702,970.65 and 318,521.70 is: 439,562.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,396.58 : 702,970.65 = 318,521.70 : x
  2. Step 2: Convert to fraction form
    509,396.58/702,970.65 = 318,521.70/x
  3. Step 3: Cross multiply
    509,396.58x = 702,970.65 × 318,521.70
  4. Step 4: Simplify right side
    509,396.58x = 223,911,406,488.11
  5. Step 5: Solve for x
    x = 223,911,406,488.11/509,396.58
  6. Step 6: Final answer
    x = 439,562.05

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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.