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Finding the Fourth Proportional to 390,646.69, 586,028.53 and 141,387.01

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Solution

The fourth proportional to 390,646.69, 586,028.53 and 141,387.01 is: 212,101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,646.69 : 586,028.53 = 141,387.01 : x
  2. Step 2: Convert to fraction form
    390,646.69/586,028.53 = 141,387.01/x
  3. Step 3: Cross multiply
    390,646.69x = 586,028.53 × 141,387.01
  4. Step 4: Simplify right side
    390,646.69x = 82,856,820,343.06
  5. Step 5: Solve for x
    x = 82,856,820,343.06/390,646.69
  6. Step 6: Final answer
    x = 212,101.68

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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.