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Finding the Fourth Proportional to 309,702.21, 464,509.58 and 99,312.81

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Solution

The fourth proportional to 309,702.21, 464,509.58 and 99,312.81 is: 148,955.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,702.21 : 464,509.58 = 99,312.81 : x
  2. Step 2: Convert to fraction form
    309,702.21/464,509.58 = 99,312.81/x
  3. Step 3: Cross multiply
    309,702.21x = 464,509.58 × 99,312.81
  4. Step 4: Simplify right side
    309,702.21x = 46,131,751,165.16
  5. Step 5: Solve for x
    x = 46,131,751,165.16/309,702.21
  6. Step 6: Final answer
    x = 148,955.19

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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.