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Finding the Fourth Proportional to 978,005.64, 1,349,649.90 and 570,076.68

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Solution

The fourth proportional to 978,005.64, 1,349,649.90 and 570,076.68 is: 786,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,005.64 : 1,349,649.90 = 570,076.68 : x
  2. Step 2: Convert to fraction form
    978,005.64/1,349,649.90 = 570,076.68/x
  3. Step 3: Cross multiply
    978,005.64x = 1,349,649.90 × 570,076.68
  4. Step 4: Simplify right side
    978,005.64x = 769,403,934,154.33
  5. Step 5: Solve for x
    x = 769,403,934,154.33/978,005.64
  6. Step 6: Final answer
    x = 786,707.05

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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.