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Finding the Fourth Proportional to 1,456,560, 2,184,840 and 459,288

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Solution

The fourth proportional to 1,456,560, 2,184,840 and 459,288 is: 688,932

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,560 : 2,184,840 = 459,288 : x
  2. Step 2: Convert to fraction form
    1,456,560/2,184,840 = 459,288/x
  3. Step 3: Cross multiply
    1,456,560x = 2,184,840 × 459,288
  4. Step 4: Simplify right side
    1,456,560x = 1,003,470,793,920
  5. Step 5: Solve for x
    x = 1,003,470,793,920/1,456,560
  6. Step 6: Final answer
    x = 688,932

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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.