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Finding the Fourth Proportional to 407,041.84, 610,655.76 and 140,802.16

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Solution

The fourth proportional to 407,041.84, 610,655.76 and 140,802.16 is: 211,235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,041.84 : 610,655.76 = 140,802.16 : x
  2. Step 2: Convert to fraction form
    407,041.84/610,655.76 = 140,802.16/x
  3. Step 3: Cross multiply
    407,041.84x = 610,655.76 × 140,802.16
  4. Step 4: Simplify right side
    407,041.84x = 85,981,650,024.44
  5. Step 5: Solve for x
    x = 85,981,650,024.44/407,041.84
  6. Step 6: Final answer
    x = 211,235.41

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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.