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Finding the Fourth Proportional to 343,061.60, 514,592.40 and 143,315.60

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Solution

The fourth proportional to 343,061.60, 514,592.40 and 143,315.60 is: 214,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,061.60 : 514,592.40 = 143,315.60 : x
  2. Step 2: Convert to fraction form
    343,061.60/514,592.40 = 143,315.60/x
  3. Step 3: Cross multiply
    343,061.60x = 514,592.40 × 143,315.60
  4. Step 4: Simplify right side
    343,061.60x = 73,749,118,561.44
  5. Step 5: Solve for x
    x = 73,749,118,561.44/343,061.60
  6. Step 6: Final answer
    x = 214,973.40

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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.