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Finding the Fourth Proportional to 431,187.02, 646,875.18 and 127,557.40

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Solution

The fourth proportional to 431,187.02, 646,875.18 and 127,557.40 is: 191,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,187.02 : 646,875.18 = 127,557.40 : x
  2. Step 2: Convert to fraction form
    431,187.02/646,875.18 = 127,557.40/x
  3. Step 3: Cross multiply
    431,187.02x = 646,875.18 × 127,557.40
  4. Step 4: Simplify right side
    431,187.02x = 82,513,716,085.33
  5. Step 5: Solve for x
    x = 82,513,716,085.33/431,187.02
  6. Step 6: Final answer
    x = 191,364.10

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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.