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Finding the Fourth Proportional to 243,000.90, 364,501.35 and 213,476.40

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Solution

The fourth proportional to 243,000.90, 364,501.35 and 213,476.40 is: 320,214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,000.90 : 364,501.35 = 213,476.40 : x
  2. Step 2: Convert to fraction form
    243,000.90/364,501.35 = 213,476.40/x
  3. Step 3: Cross multiply
    243,000.90x = 364,501.35 × 213,476.40
  4. Step 4: Simplify right side
    243,000.90x = 77,812,435,993.14
  5. Step 5: Solve for x
    x = 77,812,435,993.14/243,000.90
  6. Step 6: Final answer
    x = 320,214.60

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1.5x scale

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.