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Finding the Fourth Proportional to 561,214.65, 774,463.64 and 306,566.85

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Solution

The fourth proportional to 561,214.65, 774,463.64 and 306,566.85 is: 423,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,214.65 : 774,463.64 = 306,566.85 : x
  2. Step 2: Convert to fraction form
    561,214.65/774,463.64 = 306,566.85/x
  3. Step 3: Cross multiply
    561,214.65x = 774,463.64 × 306,566.85
  4. Step 4: Simplify right side
    561,214.65x = 237,424,877,021.50
  5. Step 5: Solve for x
    x = 237,424,877,021.50/561,214.65
  6. Step 6: Final answer
    x = 423,055.38

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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.