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Finding the Fourth Proportional to 314,208.90, 433,870.20 and 291,415.50

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Solution

The fourth proportional to 314,208.90, 433,870.20 and 291,415.50 is: 402,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,208.90 : 433,870.20 = 291,415.50 : x
  2. Step 2: Convert to fraction form
    314,208.90/433,870.20 = 291,415.50/x
  3. Step 3: Cross multiply
    314,208.90x = 433,870.20 × 291,415.50
  4. Step 4: Simplify right side
    314,208.90x = 126,436,501,268.10
  5. Step 5: Solve for x
    x = 126,436,501,268.10/314,208.90
  6. Step 6: Final answer
    x = 402,396.31

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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.