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Finding the Fourth Proportional to 457,408.40, 686,047.80 and 141,897.20

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Solution

The fourth proportional to 457,408.40, 686,047.80 and 141,897.20 is: 212,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,408.40 : 686,047.80 = 141,897.20 : x
  2. Step 2: Convert to fraction form
    457,408.40/686,047.80 = 141,897.20/x
  3. Step 3: Cross multiply
    457,408.40x = 686,047.80 × 141,897.20
  4. Step 4: Simplify right side
    457,408.40x = 97,348,261,886.16
  5. Step 5: Solve for x
    x = 97,348,261,886.16/457,408.40
  6. Step 6: Final answer
    x = 212,825.70

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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.