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Finding the Fourth Proportional to 657,368.70, 983,979.45 and 470,744.70

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Solution

The fourth proportional to 657,368.70, 983,979.45 and 470,744.70 is: 704,632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,368.70 : 983,979.45 = 470,744.70 : x
  2. Step 2: Convert to fraction form
    657,368.70/983,979.45 = 470,744.70/x
  3. Step 3: Cross multiply
    657,368.70x = 983,979.45 × 470,744.70
  4. Step 4: Simplify right side
    657,368.70x = 463,203,110,996.42
  5. Step 5: Solve for x
    x = 463,203,110,996.42/657,368.70
  6. Step 6: Final answer
    x = 704,632.14

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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.