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Finding the Fourth Proportional to 271,988.64, 407,109.84 and 145,312.32

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Solution

The fourth proportional to 271,988.64, 407,109.84 and 145,312.32 is: 217,502.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,988.64 : 407,109.84 = 145,312.32 : x
  2. Step 2: Convert to fraction form
    271,988.64/407,109.84 = 145,312.32/x
  3. Step 3: Cross multiply
    271,988.64x = 407,109.84 × 145,312.32
  4. Step 4: Simplify right side
    271,988.64x = 59,158,075,345.23
  5. Step 5: Solve for x
    x = 59,158,075,345.23/271,988.64
  6. Step 6: Final answer
    x = 217,502.01

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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.