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Finding the Fourth Proportional to 561,213.65, 774,491.45 and 306,569.01

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Solution

The fourth proportional to 561,213.65, 774,491.45 and 306,569.01 is: 423,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,213.65 : 774,491.45 = 306,569.01 : x
  2. Step 2: Convert to fraction form
    561,213.65/774,491.45 = 306,569.01/x
  3. Step 3: Cross multiply
    561,213.65x = 774,491.45 × 306,569.01
  4. Step 4: Simplify right side
    561,213.65x = 237,435,075,547.12
  5. Step 5: Solve for x
    x = 237,435,075,547.12/561,213.65
  6. Step 6: Final answer
    x = 423,074.31

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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.