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Finding the Fourth Proportional to 709,088.98, 978,549.03 and 386,800.54

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Solution

The fourth proportional to 709,088.98, 978,549.03 and 386,800.54 is: 533,788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,088.98 : 978,549.03 = 386,800.54 : x
  2. Step 2: Convert to fraction form
    709,088.98/978,549.03 = 386,800.54/x
  3. Step 3: Cross multiply
    709,088.98x = 978,549.03 × 386,800.54
  4. Step 4: Simplify right side
    709,088.98x = 378,503,293,220.48
  5. Step 5: Solve for x
    x = 378,503,293,220.48/709,088.98
  6. Step 6: Final answer
    x = 533,788.15

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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.