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Finding the Fourth Proportional to 406,947.70, 610,421.55 and 346,813.30

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Solution

The fourth proportional to 406,947.70, 610,421.55 and 346,813.30 is: 520,219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,947.70 : 610,421.55 = 346,813.30 : x
  2. Step 2: Convert to fraction form
    406,947.70/610,421.55 = 346,813.30/x
  3. Step 3: Cross multiply
    406,947.70x = 610,421.55 × 346,813.30
  4. Step 4: Simplify right side
    406,947.70x = 211,702,312,146.62
  5. Step 5: Solve for x
    x = 211,702,312,146.62/406,947.70
  6. Step 6: Final answer
    x = 520,219.95

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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.