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Finding the Fourth Proportional to 312,281.76, 468,423.72 and 75,624

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Solution

The fourth proportional to 312,281.76, 468,423.72 and 75,624 is: 113,436.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,281.76 : 468,423.72 = 75,624 : x
  2. Step 2: Convert to fraction form
    312,281.76/468,423.72 = 75,624/x
  3. Step 3: Cross multiply
    312,281.76x = 468,423.72 × 75,624
  4. Step 4: Simplify right side
    312,281.76x = 35,424,075,401.28
  5. Step 5: Solve for x
    x = 35,424,075,401.28/312,281.76
  6. Step 6: Final answer
    x = 113,436.26

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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.