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Finding the Fourth Proportional to 431,030.40, 646,599.28 and 146,699.10

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Solution

The fourth proportional to 431,030.40, 646,599.28 and 146,699.10 is: 220,066.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,030.40 : 646,599.28 = 146,699.10 : x
  2. Step 2: Convert to fraction form
    431,030.40/646,599.28 = 146,699.10/x
  3. Step 3: Cross multiply
    431,030.40x = 646,599.28 × 146,699.10
  4. Step 4: Simplify right side
    431,030.40x = 94,855,535,485.39
  5. Step 5: Solve for x
    x = 94,855,535,485.39/431,030.40
  6. Step 6: Final answer
    x = 220,066.92

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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.