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Finding the Fourth Proportional to 709,075.98, 978,531.10 and 386,787.51

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Solution

The fourth proportional to 709,075.98, 978,531.10 and 386,787.51 is: 533,770.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,075.98 : 978,531.10 = 386,787.51 : x
  2. Step 2: Convert to fraction form
    709,075.98/978,531.10 = 386,787.51/x
  3. Step 3: Cross multiply
    709,075.98x = 978,531.10 × 386,787.51
  4. Step 4: Simplify right side
    709,075.98x = 378,483,606,659.59
  5. Step 5: Solve for x
    x = 378,483,606,659.59/709,075.98
  6. Step 6: Final answer
    x = 533,770.17

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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.