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Finding the Fourth Proportional to 501,756.16, 692,747.76 and 310,972

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Solution

The fourth proportional to 501,756.16, 692,747.76 and 310,972 is: 429,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,756.16 : 692,747.76 = 310,972 : x
  2. Step 2: Convert to fraction form
    501,756.16/692,747.76 = 310,972/x
  3. Step 3: Cross multiply
    501,756.16x = 692,747.76 × 310,972
  4. Step 4: Simplify right side
    501,756.16x = 215,425,156,422.72
  5. Step 5: Solve for x
    x = 215,425,156,422.72/501,756.16
  6. Step 6: Final answer
    x = 429,342.33

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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.