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Finding the Fourth Proportional to 315,459.90, 435,341.25 and 172,225.98

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Solution

The fourth proportional to 315,459.90, 435,341.25 and 172,225.98 is: 237,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,459.90 : 435,341.25 = 172,225.98 : x
  2. Step 2: Convert to fraction form
    315,459.90/435,341.25 = 172,225.98/x
  3. Step 3: Cross multiply
    315,459.90x = 435,341.25 × 172,225.98
  4. Step 4: Simplify right side
    315,459.90x = 74,977,073,415.68
  5. Step 5: Solve for x
    x = 74,977,073,415.68/315,459.90
  6. Step 6: Final answer
    x = 237,675.45

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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.