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Finding the Fourth Proportional to 688,820.51, 950,491.10 and 409,374.20

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Solution

The fourth proportional to 688,820.51, 950,491.10 and 409,374.20 is: 564,888.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,820.51 : 950,491.10 = 409,374.20 : x
  2. Step 2: Convert to fraction form
    688,820.51/950,491.10 = 409,374.20/x
  3. Step 3: Cross multiply
    688,820.51x = 950,491.10 × 409,374.20
  4. Step 4: Simplify right side
    688,820.51x = 389,106,526,870.29
  5. Step 5: Solve for x
    x = 389,106,526,870.29/688,820.51
  6. Step 6: Final answer
    x = 564,888.13

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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.