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Finding the Fourth Proportional to 709,043.04, 978,492.70 and 386,764.64

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Solution

The fourth proportional to 709,043.04, 978,492.70 and 386,764.64 is: 533,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,043.04 : 978,492.70 = 386,764.64 : x
  2. Step 2: Convert to fraction form
    709,043.04/978,492.70 = 386,764.64/x
  3. Step 3: Cross multiply
    709,043.04x = 978,492.70 × 386,764.64
  4. Step 4: Simplify right side
    709,043.04x = 378,446,376,858.13
  5. Step 5: Solve for x
    x = 378,446,376,858.13/709,043.04
  6. Step 6: Final answer
    x = 533,742.46

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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.