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Finding the Fourth Proportional to 312,590, 468,962.76 and 90,974

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Solution

The fourth proportional to 312,590, 468,962.76 and 90,974 is: 136,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,590 : 468,962.76 = 90,974 : x
  2. Step 2: Convert to fraction form
    312,590/468,962.76 = 90,974/x
  3. Step 3: Cross multiply
    312,590x = 468,962.76 × 90,974
  4. Step 4: Simplify right side
    312,590x = 42,663,418,128.24
  5. Step 5: Solve for x
    x = 42,663,418,128.24/312,590
  6. Step 6: Final answer
    x = 136,483.63

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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.