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Finding the Fourth Proportional to 771,572.39, 1,064,808.08 and 465,643.89

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Solution

The fourth proportional to 771,572.39, 1,064,808.08 and 465,643.89 is: 642,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,572.39 : 1,064,808.08 = 465,643.89 : x
  2. Step 2: Convert to fraction form
    771,572.39/1,064,808.08 = 465,643.89/x
  3. Step 3: Cross multiply
    771,572.39x = 1,064,808.08 × 465,643.89
  4. Step 4: Simplify right side
    771,572.39x = 495,821,375,892.58
  5. Step 5: Solve for x
    x = 495,821,375,892.58/771,572.39
  6. Step 6: Final answer
    x = 642,611.61

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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.