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Finding the Fourth Proportional to 565,904.34, 780,552.55 and 384,301.02

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Solution

The fourth proportional to 565,904.34, 780,552.55 and 384,301.02 is: 530,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,904.34 : 780,552.55 = 384,301.02 : x
  2. Step 2: Convert to fraction form
    565,904.34/780,552.55 = 384,301.02/x
  3. Step 3: Cross multiply
    565,904.34x = 780,552.55 × 384,301.02
  4. Step 4: Simplify right side
    565,904.34x = 299,967,144,536.05
  5. Step 5: Solve for x
    x = 299,967,144,536.05/565,904.34
  6. Step 6: Final answer
    x = 530,066.87

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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.