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Finding the Fourth Proportional to 565,848.68, 780,885.96 and 311,206.55

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Solution

The fourth proportional to 565,848.68, 780,885.96 and 311,206.55 is: 429,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,848.68 : 780,885.96 = 311,206.55 : x
  2. Step 2: Convert to fraction form
    565,848.68/780,885.96 = 311,206.55/x
  3. Step 3: Cross multiply
    565,848.68x = 780,885.96 × 311,206.55
  4. Step 4: Simplify right side
    565,848.68x = 243,016,827,507.25
  5. Step 5: Solve for x
    x = 243,016,827,507.25/565,848.68
  6. Step 6: Final answer
    x = 429,473.17

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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.