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Finding the Fourth Proportional to 520,603.32, 780,013.76 and 284,112.06

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Solution

The fourth proportional to 520,603.32, 780,013.76 and 284,112.06 is: 425,681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,603.32 : 780,013.76 = 284,112.06 : x
  2. Step 2: Convert to fraction form
    520,603.32/780,013.76 = 284,112.06/x
  3. Step 3: Cross multiply
    520,603.32x = 780,013.76 × 284,112.06
  4. Step 4: Simplify right side
    520,603.32x = 221,611,316,181.95
  5. Step 5: Solve for x
    x = 221,611,316,181.95/520,603.32
  6. Step 6: Final answer
    x = 425,681.72

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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.