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Finding the Fourth Proportional to 520,931.78, 780,386.55 and 383,906

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Solution

The fourth proportional to 520,931.78, 780,386.55 and 383,906 is: 575,113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,931.78 : 780,386.55 = 383,906 : x
  2. Step 2: Convert to fraction form
    520,931.78/780,386.55 = 383,906/x
  3. Step 3: Cross multiply
    520,931.78x = 780,386.55 × 383,906
  4. Step 4: Simplify right side
    520,931.78x = 299,595,078,864.30
  5. Step 5: Solve for x
    x = 299,595,078,864.30/520,931.78
  6. Step 6: Final answer
    x = 575,113.84

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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.