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Finding the Fourth Proportional to 343,210.72, 514,819.13 and 140,918.08

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Solution

The fourth proportional to 343,210.72, 514,819.13 and 140,918.08 is: 211,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,210.72 : 514,819.13 = 140,918.08 : x
  2. Step 2: Convert to fraction form
    343,210.72/514,819.13 = 140,918.08/x
  3. Step 3: Cross multiply
    343,210.72x = 514,819.13 × 140,918.08
  4. Step 4: Simplify right side
    343,210.72x = 72,547,323,346.87
  5. Step 5: Solve for x
    x = 72,547,323,346.87/343,210.72
  6. Step 6: Final answer
    x = 211,378.37

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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.