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Finding the Fourth Proportional to 709,025.28, 978,457.92 and 386,742.30

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Solution

The fourth proportional to 709,025.28, 978,457.92 and 386,742.30 is: 533,706.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,025.28 : 978,457.92 = 386,742.30 : x
  2. Step 2: Convert to fraction form
    709,025.28/978,457.92 = 386,742.30/x
  3. Step 3: Cross multiply
    709,025.28x = 978,457.92 × 386,742.30
  4. Step 4: Simplify right side
    709,025.28x = 378,411,066,434.02
  5. Step 5: Solve for x
    x = 378,411,066,434.02/709,025.28
  6. Step 6: Final answer
    x = 533,706.03

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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.