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Finding the Fourth Proportional to 305,416.10, 421,459.98 and 169,448.60

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Solution

The fourth proportional to 305,416.10, 421,459.98 and 169,448.60 is: 233,831.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,416.10 : 421,459.98 = 169,448.60 : x
  2. Step 2: Convert to fraction form
    305,416.10/421,459.98 = 169,448.60/x
  3. Step 3: Cross multiply
    305,416.10x = 421,459.98 × 169,448.60
  4. Step 4: Simplify right side
    305,416.10x = 71,415,803,567.03
  5. Step 5: Solve for x
    x = 71,415,803,567.03/305,416.10
  6. Step 6: Final answer
    x = 233,831.17

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1.5x scale

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.