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Finding the Fourth Proportional to 1,101,748, 1,652,898.48 and 313,780

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Solution

The fourth proportional to 1,101,748, 1,652,898.48 and 313,780 is: 470,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,748 : 1,652,898.48 = 313,780 : x
  2. Step 2: Convert to fraction form
    1,101,748/1,652,898.48 = 313,780/x
  3. Step 3: Cross multiply
    1,101,748x = 1,652,898.48 × 313,780
  4. Step 4: Simplify right side
    1,101,748x = 518,646,485,054.40
  5. Step 5: Solve for x
    x = 518,646,485,054.40/1,101,748
  6. Step 6: Final answer
    x = 470,748.74

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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.