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Finding the Fourth Proportional to 385,501.76, 578,306.40 and 175,192.64

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Solution

The fourth proportional to 385,501.76, 578,306.40 and 175,192.64 is: 262,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,501.76 : 578,306.40 = 175,192.64 : x
  2. Step 2: Convert to fraction form
    385,501.76/578,306.40 = 175,192.64/x
  3. Step 3: Cross multiply
    385,501.76x = 578,306.40 × 175,192.64
  4. Step 4: Simplify right side
    385,501.76x = 101,315,024,944.90
  5. Step 5: Solve for x
    x = 101,315,024,944.90/385,501.76
  6. Step 6: Final answer
    x = 262,813.39

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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.