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Finding the Fourth Proportional to 978,003.14, 1,349,646.45 and 570,074.18

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Solution

The fourth proportional to 978,003.14, 1,349,646.45 and 570,074.18 is: 786,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,003.14 : 1,349,646.45 = 570,074.18 : x
  2. Step 2: Convert to fraction form
    978,003.14/1,349,646.45 = 570,074.18/x
  3. Step 3: Cross multiply
    978,003.14x = 1,349,646.45 × 570,074.18
  4. Step 4: Simplify right side
    978,003.14x = 769,398,593,273.66
  5. Step 5: Solve for x
    x = 769,398,593,273.66/978,003.14
  6. Step 6: Final answer
    x = 786,703.60

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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.