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Finding the Fourth Proportional to 651,970.12, 978,336.44 and 272,859.16

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Solution

The fourth proportional to 651,970.12, 978,336.44 and 272,859.16 is: 409,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,970.12 : 978,336.44 = 272,859.16 : x
  2. Step 2: Convert to fraction form
    651,970.12/978,336.44 = 272,859.16/x
  3. Step 3: Cross multiply
    651,970.12x = 978,336.44 × 272,859.16
  4. Step 4: Simplify right side
    651,970.12x = 266,948,059,215.79
  5. Step 5: Solve for x
    x = 266,948,059,215.79/651,970.12
  6. Step 6: Final answer
    x = 409,448.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.