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Finding the Fourth Proportional to 457,343.16, 686,008.51 and 141,800.07

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Solution

The fourth proportional to 457,343.16, 686,008.51 and 141,800.07 is: 212,698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,343.16 : 686,008.51 = 141,800.07 : x
  2. Step 2: Convert to fraction form
    457,343.16/686,008.51 = 141,800.07/x
  3. Step 3: Cross multiply
    457,343.16x = 686,008.51 × 141,800.07
  4. Step 4: Simplify right side
    457,343.16x = 97,276,051,308.55
  5. Step 5: Solve for x
    x = 97,276,051,308.55/457,343.16
  6. Step 6: Final answer
    x = 212,698.17

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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.