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Finding the Fourth Proportional to 438,565.80, 657,848.70 and 320,467.80

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Solution

The fourth proportional to 438,565.80, 657,848.70 and 320,467.80 is: 480,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,565.80 : 657,848.70 = 320,467.80 : x
  2. Step 2: Convert to fraction form
    438,565.80/657,848.70 = 320,467.80/x
  3. Step 3: Cross multiply
    438,565.80x = 657,848.70 × 320,467.80
  4. Step 4: Simplify right side
    438,565.80x = 210,819,325,621.86
  5. Step 5: Solve for x
    x = 210,819,325,621.86/438,565.80
  6. Step 6: Final answer
    x = 480,701.70

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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.