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Finding the Fourth Proportional to 612,139.20, 918,208.80 and 442,865.40

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Solution

The fourth proportional to 612,139.20, 918,208.80 and 442,865.40 is: 664,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,139.20 : 918,208.80 = 442,865.40 : x
  2. Step 2: Convert to fraction form
    612,139.20/918,208.80 = 442,865.40/x
  3. Step 3: Cross multiply
    612,139.20x = 918,208.80 × 442,865.40
  4. Step 4: Simplify right side
    612,139.20x = 406,642,907,495.52
  5. Step 5: Solve for x
    x = 406,642,907,495.52/612,139.20
  6. Step 6: Final answer
    x = 664,298.10

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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.