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Finding the Fourth Proportional to 457,145.60, 685,718.40 and 141,699.20

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Solution

The fourth proportional to 457,145.60, 685,718.40 and 141,699.20 is: 212,548.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,145.60 : 685,718.40 = 141,699.20 : x
  2. Step 2: Convert to fraction form
    457,145.60/685,718.40 = 141,699.20/x
  3. Step 3: Cross multiply
    457,145.60x = 685,718.40 × 141,699.20
  4. Step 4: Simplify right side
    457,145.60x = 97,165,748,705.28
  5. Step 5: Solve for x
    x = 97,165,748,705.28/457,145.60
  6. Step 6: Final answer
    x = 212,548.80

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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.