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Finding the Fourth Proportional to 978,085, 1,349,760.99 and 570,468.34

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Solution

The fourth proportional to 978,085, 1,349,760.99 and 570,468.34 is: 787,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,085 : 1,349,760.99 = 570,468.34 : x
  2. Step 2: Convert to fraction form
    978,085/1,349,760.99 = 570,468.34/x
  3. Step 3: Cross multiply
    978,085x = 1,349,760.99 × 570,468.34
  4. Step 4: Simplify right side
    978,085x = 769,995,911,362.06
  5. Step 5: Solve for x
    x = 769,995,911,362.06/978,085
  6. Step 6: Final answer
    x = 787,248.46

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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.