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Finding the Fourth Proportional to 312,444.50, 468,746.67 and 90,828.50

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Solution

The fourth proportional to 312,444.50, 468,746.67 and 90,828.50 is: 136,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,444.50 : 468,746.67 = 90,828.50 : x
  2. Step 2: Convert to fraction form
    312,444.50/468,746.67 = 90,828.50/x
  3. Step 3: Cross multiply
    312,444.50x = 468,746.67 × 90,828.50
  4. Step 4: Simplify right side
    312,444.50x = 42,575,556,916.10
  5. Step 5: Solve for x
    x = 42,575,556,916.10/312,444.50
  6. Step 6: Final answer
    x = 136,265.98

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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.