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Finding the Fourth Proportional to 1,001,770, 1,502,742.49 and 253,816

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Solution

The fourth proportional to 1,001,770, 1,502,742.49 and 253,816 is: 380,746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,770 : 1,502,742.49 = 253,816 : x
  2. Step 2: Convert to fraction form
    1,001,770/1,502,742.49 = 253,816/x
  3. Step 3: Cross multiply
    1,001,770x = 1,502,742.49 × 253,816
  4. Step 4: Simplify right side
    1,001,770x = 381,420,087,841.84
  5. Step 5: Solve for x
    x = 381,420,087,841.84/1,001,770
  6. Step 6: Final answer
    x = 380,746.17

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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.