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Finding the Fourth Proportional to 803,802.42, 1,109,207.25 and 464,250.42

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Solution

The fourth proportional to 803,802.42, 1,109,207.25 and 464,250.42 is: 640,642.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,802.42 : 1,109,207.25 = 464,250.42 : x
  2. Step 2: Convert to fraction form
    803,802.42/1,109,207.25 = 464,250.42/x
  3. Step 3: Cross multiply
    803,802.42x = 1,109,207.25 × 464,250.42
  4. Step 4: Simplify right side
    803,802.42x = 514,949,931,679.55
  5. Step 5: Solve for x
    x = 514,949,931,679.55/803,802.42
  6. Step 6: Final answer
    x = 640,642.43

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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.