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Finding the Fourth Proportional to 385,759.29, 578,428 and 306,307.63

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Solution

The fourth proportional to 385,759.29, 578,428 and 306,307.63 is: 459,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,759.29 : 578,428 = 306,307.63 : x
  2. Step 2: Convert to fraction form
    385,759.29/578,428 = 306,307.63/x
  3. Step 3: Cross multiply
    385,759.29x = 578,428 × 306,307.63
  4. Step 4: Simplify right side
    385,759.29x = 177,176,909,805.64
  5. Step 5: Solve for x
    x = 177,176,909,805.64/385,759.29
  6. Step 6: Final answer
    x = 459,293.95

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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.