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Finding the Fourth Proportional to 537,934.40, 807,679.20 and 405,742.40

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Solution

The fourth proportional to 537,934.40, 807,679.20 and 405,742.40 is: 609,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,934.40 : 807,679.20 = 405,742.40 : x
  2. Step 2: Convert to fraction form
    537,934.40/807,679.20 = 405,742.40/x
  3. Step 3: Cross multiply
    537,934.40x = 807,679.20 × 405,742.40
  4. Step 4: Simplify right side
    537,934.40x = 327,709,697,038.08
  5. Step 5: Solve for x
    x = 327,709,697,038.08/537,934.40
  6. Step 6: Final answer
    x = 609,200.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.