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Finding the Fourth Proportional to 556,135.16, 767,505.87 and 314,420.03

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Solution

The fourth proportional to 556,135.16, 767,505.87 and 314,420.03 is: 433,921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,135.16 : 767,505.87 = 314,420.03 : x
  2. Step 2: Convert to fraction form
    556,135.16/767,505.87 = 314,420.03/x
  3. Step 3: Cross multiply
    556,135.16x = 767,505.87 × 314,420.03
  4. Step 4: Simplify right side
    556,135.16x = 241,319,213,260.95
  5. Step 5: Solve for x
    x = 241,319,213,260.95/556,135.16
  6. Step 6: Final answer
    x = 433,921.88

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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.