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Finding the Fourth Proportional to 978,598.39, 1,350,473.12 and 543,017.45

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Solution

The fourth proportional to 978,598.39, 1,350,473.12 and 543,017.45 is: 749,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,598.39 : 1,350,473.12 = 543,017.45 : x
  2. Step 2: Convert to fraction form
    978,598.39/1,350,473.12 = 543,017.45/x
  3. Step 3: Cross multiply
    978,598.39x = 1,350,473.12 × 543,017.45
  4. Step 4: Simplify right side
    978,598.39x = 733,330,467,962.27
  5. Step 5: Solve for x
    x = 733,330,467,962.27/978,598.39
  6. Step 6: Final answer
    x = 749,368.15

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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.