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Finding the Fourth Proportional to 514,469.77, 709,572.02 and 310,307.85

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Solution

The fourth proportional to 514,469.77, 709,572.02 and 310,307.85 is: 427,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,469.77 : 709,572.02 = 310,307.85 : x
  2. Step 2: Convert to fraction form
    514,469.77/709,572.02 = 310,307.85/x
  3. Step 3: Cross multiply
    514,469.77x = 709,572.02 × 310,307.85
  4. Step 4: Simplify right side
    514,469.77x = 220,185,767,946.36
  5. Step 5: Solve for x
    x = 220,185,767,946.36/514,469.77
  6. Step 6: Final answer
    x = 427,985.82

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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.