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Finding the Fourth Proportional to 709,029.03, 978,463.14 and 386,746.05

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Solution

The fourth proportional to 709,029.03, 978,463.14 and 386,746.05 is: 533,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,029.03 : 978,463.14 = 386,746.05 : x
  2. Step 2: Convert to fraction form
    709,029.03/978,463.14 = 386,746.05/x
  3. Step 3: Cross multiply
    709,029.03x = 978,463.14 × 386,746.05
  4. Step 4: Simplify right side
    709,029.03x = 378,416,754,465.60
  5. Step 5: Solve for x
    x = 378,416,754,465.60/709,029.03
  6. Step 6: Final answer
    x = 533,711.23

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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.