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Finding the Fourth Proportional to 601,669, 830,312.40 and 329,734.68

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Solution

The fourth proportional to 601,669, 830,312.40 and 329,734.68 is: 455,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,669 : 830,312.40 = 329,734.68 : x
  2. Step 2: Convert to fraction form
    601,669/830,312.40 = 329,734.68/x
  3. Step 3: Cross multiply
    601,669x = 830,312.40 × 329,734.68
  4. Step 4: Simplify right side
    601,669x = 273,782,793,514.03
  5. Step 5: Solve for x
    x = 273,782,793,514.03/601,669
  6. Step 6: Final answer
    x = 455,038.89

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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.