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Finding the Fourth Proportional to 406,947.90, 610,421.85 and 340,463.10

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Solution

The fourth proportional to 406,947.90, 610,421.85 and 340,463.10 is: 510,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,947.90 : 610,421.85 = 340,463.10 : x
  2. Step 2: Convert to fraction form
    406,947.90/610,421.85 = 340,463.10/x
  3. Step 3: Cross multiply
    406,947.90x = 610,421.85 × 340,463.10
  4. Step 4: Simplify right side
    406,947.90x = 207,826,115,358.74
  5. Step 5: Solve for x
    x = 207,826,115,358.74/406,947.90
  6. Step 6: Final answer
    x = 510,694.65

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1.5x scale

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.