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Finding the Fourth Proportional to 384,561.96, 576,038.34 and 309,275.16

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Solution

The fourth proportional to 384,561.96, 576,038.34 and 309,275.16 is: 463,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,561.96 : 576,038.34 = 309,275.16 : x
  2. Step 2: Convert to fraction form
    384,561.96/576,038.34 = 309,275.16/x
  3. Step 3: Cross multiply
    384,561.96x = 576,038.34 × 309,275.16
  4. Step 4: Simplify right side
    384,561.96x = 178,154,349,769.63
  5. Step 5: Solve for x
    x = 178,154,349,769.63/384,561.96
  6. Step 6: Final answer
    x = 463,265.66

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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.