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Finding the Fourth Proportional to 518,075.10, 714,747.12 and 314,051.64

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Solution

The fourth proportional to 518,075.10, 714,747.12 and 314,051.64 is: 433,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,075.10 : 714,747.12 = 314,051.64 : x
  2. Step 2: Convert to fraction form
    518,075.10/714,747.12 = 314,051.64/x
  3. Step 3: Cross multiply
    518,075.10x = 714,747.12 × 314,051.64
  4. Step 4: Simplify right side
    518,075.10x = 224,467,505,221.28
  5. Step 5: Solve for x
    x = 224,467,505,221.28/518,075.10
  6. Step 6: Final answer
    x = 433,272.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.