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Finding the Fourth Proportional to 309,809.64, 464,670.54 and 99,420.36

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Solution

The fourth proportional to 309,809.64, 464,670.54 and 99,420.36 is: 149,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,809.64 : 464,670.54 = 99,420.36 : x
  2. Step 2: Convert to fraction form
    309,809.64/464,670.54 = 99,420.36/x
  3. Step 3: Cross multiply
    309,809.64x = 464,670.54 × 99,420.36
  4. Step 4: Simplify right side
    309,809.64x = 46,197,712,368.19
  5. Step 5: Solve for x
    x = 46,197,712,368.19/309,809.64
  6. Step 6: Final answer
    x = 149,116.45

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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.