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Finding the Fourth Proportional to 978,468.89, 1,350,298.35 and 542,894.40

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Solution

The fourth proportional to 978,468.89, 1,350,298.35 and 542,894.40 is: 749,200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,468.89 : 1,350,298.35 = 542,894.40 : x
  2. Step 2: Convert to fraction form
    978,468.89/1,350,298.35 = 542,894.40/x
  3. Step 3: Cross multiply
    978,468.89x = 1,350,298.35 × 542,894.40
  4. Step 4: Simplify right side
    978,468.89x = 733,069,412,544.24
  5. Step 5: Solve for x
    x = 733,069,412,544.24/978,468.89
  6. Step 6: Final answer
    x = 749,200.54

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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.