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Finding the Fourth Proportional to 523,542.95, 786,495.40 and 313,328.51

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Solution

The fourth proportional to 523,542.95, 786,495.40 and 313,328.51 is: 470,699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,542.95 : 786,495.40 = 313,328.51 : x
  2. Step 2: Convert to fraction form
    523,542.95/786,495.40 = 313,328.51/x
  3. Step 3: Cross multiply
    523,542.95x = 786,495.40 × 313,328.51
  4. Step 4: Simplify right side
    523,542.95x = 246,431,431,803.85
  5. Step 5: Solve for x
    x = 246,431,431,803.85/523,542.95
  6. Step 6: Final answer
    x = 470,699.55

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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.