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Finding the Fourth Proportional to 315,459.90, 473,265.18 and 105,099.66

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Solution

The fourth proportional to 315,459.90, 473,265.18 and 105,099.66 is: 157,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,459.90 : 473,265.18 = 105,099.66 : x
  2. Step 2: Convert to fraction form
    315,459.90/473,265.18 = 105,099.66/x
  3. Step 3: Cross multiply
    315,459.90x = 473,265.18 × 105,099.66
  4. Step 4: Simplify right side
    315,459.90x = 49,740,009,507.84
  5. Step 5: Solve for x
    x = 49,740,009,507.84/315,459.90
  6. Step 6: Final answer
    x = 157,674.59

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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.