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Finding the Fourth Proportional to 612,339.82, 918,528.10 and 506,549.76

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Solution

The fourth proportional to 612,339.82, 918,528.10 and 506,549.76 is: 759,839.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,339.82 : 918,528.10 = 506,549.76 : x
  2. Step 2: Convert to fraction form
    612,339.82/918,528.10 = 506,549.76/x
  3. Step 3: Cross multiply
    612,339.82x = 918,528.10 × 506,549.76
  4. Step 4: Simplify right side
    612,339.82x = 465,280,188,608.26
  5. Step 5: Solve for x
    x = 465,280,188,608.26/612,339.82
  6. Step 6: Final answer
    x = 759,839.84

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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.