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Finding the Fourth Proportional to 665,224.64, 998,547.40 and 286,333.04

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Solution

The fourth proportional to 665,224.64, 998,547.40 and 286,333.04 is: 429,805.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,224.64 : 998,547.40 = 286,333.04 : x
  2. Step 2: Convert to fraction form
    665,224.64/998,547.40 = 286,333.04/x
  3. Step 3: Cross multiply
    665,224.64x = 998,547.40 × 286,333.04
  4. Step 4: Simplify right side
    665,224.64x = 285,917,114,406.63
  5. Step 5: Solve for x
    x = 285,917,114,406.63/665,224.64
  6. Step 6: Final answer
    x = 429,805.36

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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.