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Finding the Fourth Proportional to 309,697.21, 464,502.07 and 99,307.81

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Solution

The fourth proportional to 309,697.21, 464,502.07 and 99,307.81 is: 148,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,697.21 : 464,502.07 = 99,307.81 : x
  2. Step 2: Convert to fraction form
    309,697.21/464,502.07 = 99,307.81/x
  3. Step 3: Cross multiply
    309,697.21x = 464,502.07 × 99,307.81
  4. Step 4: Simplify right side
    309,697.21x = 46,128,683,312.17
  5. Step 5: Solve for x
    x = 46,128,683,312.17/309,697.21
  6. Step 6: Final answer
    x = 148,947.69

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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.