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Finding the Fourth Proportional to 314,523.51, 471,075.50 and 145,689.14

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Solution

The fourth proportional to 314,523.51, 471,075.50 and 145,689.14 is: 218,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,523.51 : 471,075.50 = 145,689.14 : x
  2. Step 2: Convert to fraction form
    314,523.51/471,075.50 = 145,689.14/x
  3. Step 3: Cross multiply
    314,523.51x = 471,075.50 × 145,689.14
  4. Step 4: Simplify right side
    314,523.51x = 68,630,581,386.25
  5. Step 5: Solve for x
    x = 68,630,581,386.25/314,523.51
  6. Step 6: Final answer
    x = 218,204.93

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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.