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Finding the Fourth Proportional to 402,476.78, 602,718.68 and 295,607.30

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Solution

The fourth proportional to 402,476.78, 602,718.68 and 295,607.30 is: 442,679.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,476.78 : 602,718.68 = 295,607.30 : x
  2. Step 2: Convert to fraction form
    402,476.78/602,718.68 = 295,607.30/x
  3. Step 3: Cross multiply
    402,476.78x = 602,718.68 × 295,607.30
  4. Step 4: Simplify right side
    402,476.78x = 178,168,043,900.18
  5. Step 5: Solve for x
    x = 178,168,043,900.18/402,476.78
  6. Step 6: Final answer
    x = 442,679.07

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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.