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Finding the Fourth Proportional to 543,130.40, 813,384.32 and 272,407.14

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Solution

The fourth proportional to 543,130.40, 813,384.32 and 272,407.14 is: 407,953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,130.40 : 813,384.32 = 272,407.14 : x
  2. Step 2: Convert to fraction form
    543,130.40/813,384.32 = 272,407.14/x
  3. Step 3: Cross multiply
    543,130.40x = 813,384.32 × 272,407.14
  4. Step 4: Simplify right side
    543,130.40x = 221,571,694,970.01
  5. Step 5: Solve for x
    x = 221,571,694,970.01/543,130.40
  6. Step 6: Final answer
    x = 407,953.03

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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.