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Finding the Fourth Proportional to 342,985.69, 514,478.73 and 143,197.16

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Solution

The fourth proportional to 342,985.69, 514,478.73 and 143,197.16 is: 214,795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,985.69 : 514,478.73 = 143,197.16 : x
  2. Step 2: Convert to fraction form
    342,985.69/514,478.73 = 143,197.16/x
  3. Step 3: Cross multiply
    342,985.69x = 514,478.73 × 143,197.16
  4. Step 4: Simplify right side
    342,985.69x = 73,671,893,016.41
  5. Step 5: Solve for x
    x = 73,671,893,016.41/342,985.69
  6. Step 6: Final answer
    x = 214,795.82

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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.