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Finding the Fourth Proportional to 460,690.61, 635,565.76 and 305,714.98

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Solution

The fourth proportional to 460,690.61, 635,565.76 and 305,714.98 is: 421,762.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,690.61 : 635,565.76 = 305,714.98 : x
  2. Step 2: Convert to fraction form
    460,690.61/635,565.76 = 305,714.98/x
  3. Step 3: Cross multiply
    460,690.61x = 635,565.76 × 305,714.98
  4. Step 4: Simplify right side
    460,690.61x = 194,301,973,607.09
  5. Step 5: Solve for x
    x = 194,301,973,607.09/460,690.61
  6. Step 6: Final answer
    x = 421,762.39

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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.