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Finding the Fourth Proportional to 357,269.12, 535,403.28 and 268,466

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Solution

The fourth proportional to 357,269.12, 535,403.28 and 268,466 is: 402,322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,269.12 : 535,403.28 = 268,466 : x
  2. Step 2: Convert to fraction form
    357,269.12/535,403.28 = 268,466/x
  3. Step 3: Cross multiply
    357,269.12x = 535,403.28 × 268,466
  4. Step 4: Simplify right side
    357,269.12x = 143,737,576,968.48
  5. Step 5: Solve for x
    x = 143,737,576,968.48/357,269.12
  6. Step 6: Final answer
    x = 402,322.98

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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.