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Finding the Fourth Proportional to 900,747, 1,243,070.28 and 498,339

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Solution

The fourth proportional to 900,747, 1,243,070.28 and 498,339 is: 687,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,747 : 1,243,070.28 = 498,339 : x
  2. Step 2: Convert to fraction form
    900,747/1,243,070.28 = 498,339/x
  3. Step 3: Cross multiply
    900,747x = 1,243,070.28 × 498,339
  4. Step 4: Simplify right side
    900,747x = 619,470,400,264.92
  5. Step 5: Solve for x
    x = 619,470,400,264.92/900,747
  6. Step 6: Final answer
    x = 687,729.63

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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.