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Finding the Fourth Proportional to 565,603.02, 780,537.42 and 310,956

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Solution

The fourth proportional to 565,603.02, 780,537.42 and 310,956 is: 429,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,603.02 : 780,537.42 = 310,956 : x
  2. Step 2: Convert to fraction form
    565,603.02/780,537.42 = 310,956/x
  3. Step 3: Cross multiply
    565,603.02x = 780,537.42 × 310,956
  4. Step 4: Simplify right side
    565,603.02x = 242,712,793,973.52
  5. Step 5: Solve for x
    x = 242,712,793,973.52/565,603.02
  6. Step 6: Final answer
    x = 429,122.17

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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.