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Finding the Fourth Proportional to 421,506, 581,746.95 and 313,328.79

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Solution

The fourth proportional to 421,506, 581,746.95 and 313,328.79 is: 432,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,506 : 581,746.95 = 313,328.79 : x
  2. Step 2: Convert to fraction form
    421,506/581,746.95 = 313,328.79/x
  3. Step 3: Cross multiply
    421,506x = 581,746.95 × 313,328.79
  4. Step 4: Simplify right side
    421,506x = 182,278,067,929.69
  5. Step 5: Solve for x
    x = 182,278,067,929.69/421,506
  6. Step 6: Final answer
    x = 432,444.78

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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.