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Finding the Fourth Proportional to 646,072.74, 891,588.87 and 355,718.10

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Solution

The fourth proportional to 646,072.74, 891,588.87 and 355,718.10 is: 490,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,072.74 : 891,588.87 = 355,718.10 : x
  2. Step 2: Convert to fraction form
    646,072.74/891,588.87 = 355,718.10/x
  3. Step 3: Cross multiply
    646,072.74x = 891,588.87 × 355,718.10
  4. Step 4: Simplify right side
    646,072.74x = 317,154,298,817.55
  5. Step 5: Solve for x
    x = 317,154,298,817.55/646,072.74
  6. Step 6: Final answer
    x = 490,895.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.