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Finding the Fourth Proportional to 402,458.40, 602,996.40 and 212,637.60

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Solution

The fourth proportional to 402,458.40, 602,996.40 and 212,637.60 is: 318,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,458.40 : 602,996.40 = 212,637.60 : x
  2. Step 2: Convert to fraction form
    402,458.40/602,996.40 = 212,637.60/x
  3. Step 3: Cross multiply
    402,458.40x = 602,996.40 × 212,637.60
  4. Step 4: Simplify right side
    402,458.40x = 128,219,707,304.64
  5. Step 5: Solve for x
    x = 128,219,707,304.64/402,458.40
  6. Step 6: Final answer
    x = 318,591.21

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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.