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Finding the Fourth Proportional to 614,371.54, 920,340.80 and 289,715.12

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Solution

The fourth proportional to 614,371.54, 920,340.80 and 289,715.12 is: 433,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,371.54 : 920,340.80 = 289,715.12 : x
  2. Step 2: Convert to fraction form
    614,371.54/920,340.80 = 289,715.12/x
  3. Step 3: Cross multiply
    614,371.54x = 920,340.80 × 289,715.12
  4. Step 4: Simplify right side
    614,371.54x = 266,636,645,312.90
  5. Step 5: Solve for x
    x = 266,636,645,312.90/614,371.54
  6. Step 6: Final answer
    x = 433,999.02

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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.