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Finding the Fourth Proportional to 343,024.54, 514,443.88 and 143,303.16

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Solution

The fourth proportional to 343,024.54, 514,443.88 and 143,303.16 is: 214,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,024.54 : 514,443.88 = 143,303.16 : x
  2. Step 2: Convert to fraction form
    343,024.54/514,443.88 = 143,303.16/x
  3. Step 3: Cross multiply
    343,024.54x = 514,443.88 × 143,303.16
  4. Step 4: Simplify right side
    343,024.54x = 73,721,433,646.66
  5. Step 5: Solve for x
    x = 73,721,433,646.66/343,024.54
  6. Step 6: Final answer
    x = 214,915.92

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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.