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Finding the Fourth Proportional to 900,486, 1,242,709.56 and 498,078

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Solution

The fourth proportional to 900,486, 1,242,709.56 and 498,078 is: 687,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,486 : 1,242,709.56 = 498,078 : x
  2. Step 2: Convert to fraction form
    900,486/1,242,709.56 = 498,078/x
  3. Step 3: Cross multiply
    900,486x = 1,242,709.56 × 498,078
  4. Step 4: Simplify right side
    900,486x = 618,966,292,225.68
  5. Step 5: Solve for x
    x = 618,966,292,225.68/900,486
  6. Step 6: Final answer
    x = 687,369.15

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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.