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Finding the Fourth Proportional to 445,221.50, 614,498.40 and 409,354.70

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Solution

The fourth proportional to 445,221.50, 614,498.40 and 409,354.70 is: 564,994.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,221.50 : 614,498.40 = 409,354.70 : x
  2. Step 2: Convert to fraction form
    445,221.50/614,498.40 = 409,354.70/x
  3. Step 3: Cross multiply
    445,221.50x = 614,498.40 × 409,354.70
  4. Step 4: Simplify right side
    445,221.50x = 251,547,805,109.99
  5. Step 5: Solve for x
    x = 251,547,805,109.99/445,221.50
  6. Step 6: Final answer
    x = 564,994.75

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1.5x scale

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.