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Finding the Fourth Proportional to 312,504.98, 468,931.20 and 152,582.87

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Solution

The fourth proportional to 312,504.98, 468,931.20 and 152,582.87 is: 228,959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,504.98 : 468,931.20 = 152,582.87 : x
  2. Step 2: Convert to fraction form
    312,504.98/468,931.20 = 152,582.87/x
  3. Step 3: Cross multiply
    312,504.98x = 468,931.20 × 152,582.87
  4. Step 4: Simplify right side
    312,504.98x = 71,550,865,983.89
  5. Step 5: Solve for x
    x = 71,550,865,983.89/312,504.98
  6. Step 6: Final answer
    x = 228,959.13

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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.