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Finding the Fourth Proportional to 899,748, 1,241,654.40 and 497,340

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Solution

The fourth proportional to 899,748, 1,241,654.40 and 497,340 is: 686,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,748 : 1,241,654.40 = 497,340 : x
  2. Step 2: Convert to fraction form
    899,748/1,241,654.40 = 497,340/x
  3. Step 3: Cross multiply
    899,748x = 1,241,654.40 × 497,340
  4. Step 4: Simplify right side
    899,748x = 617,524,399,296
  5. Step 5: Solve for x
    x = 617,524,399,296/899,748
  6. Step 6: Final answer
    x = 686,330.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.