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Finding the Fourth Proportional to 312,301, 468,464.46 and 90,685

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Solution

The fourth proportional to 312,301, 468,464.46 and 90,685 is: 136,031.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,301 : 468,464.46 = 90,685 : x
  2. Step 2: Convert to fraction form
    312,301/468,464.46 = 90,685/x
  3. Step 3: Cross multiply
    312,301x = 468,464.46 × 90,685
  4. Step 4: Simplify right side
    312,301x = 42,482,699,555.10
  5. Step 5: Solve for x
    x = 42,482,699,555.10/312,301
  6. Step 6: Final answer
    x = 136,031.26

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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.