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Finding the Fourth Proportional to 320,855.76, 442,459.80 and 213,430.32

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Solution

The fourth proportional to 320,855.76, 442,459.80 and 213,430.32 is: 294,320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,855.76 : 442,459.80 = 213,430.32 : x
  2. Step 2: Convert to fraction form
    320,855.76/442,459.80 = 213,430.32/x
  3. Step 3: Cross multiply
    320,855.76x = 442,459.80 × 213,430.32
  4. Step 4: Simplify right side
    320,855.76x = 94,434,336,701.14
  5. Step 5: Solve for x
    x = 94,434,336,701.14/320,855.76
  6. Step 6: Final answer
    x = 294,320.22

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1.5x scale

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.