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Finding the Fourth Proportional to 817,018, 1,127,468.64 and 454,434.08

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Solution

The fourth proportional to 817,018, 1,127,468.64 and 454,434.08 is: 627,110.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,018 : 1,127,468.64 = 454,434.08 : x
  2. Step 2: Convert to fraction form
    817,018/1,127,468.64 = 454,434.08/x
  3. Step 3: Cross multiply
    817,018x = 1,127,468.64 × 454,434.08
  4. Step 4: Simplify right side
    817,018x = 512,360,174,147.25
  5. Step 5: Solve for x
    x = 512,360,174,147.25/817,018
  6. Step 6: Final answer
    x = 627,110.02

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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.