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Finding the Fourth Proportional to 642,404.31, 963,232.95 and 243,075.93

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Solution

The fourth proportional to 642,404.31, 963,232.95 and 243,075.93 is: 364,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,404.31 : 963,232.95 = 243,075.93 : x
  2. Step 2: Convert to fraction form
    642,404.31/963,232.95 = 243,075.93/x
  3. Step 3: Cross multiply
    642,404.31x = 963,232.95 × 243,075.93
  4. Step 4: Simplify right side
    642,404.31x = 234,138,745,127.89
  5. Step 5: Solve for x
    x = 234,138,745,127.89/642,404.31
  6. Step 6: Final answer
    x = 364,472.56

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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.