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Finding the Fourth Proportional to 545,290.84, 817,809.09 and 208,207.72

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Solution

The fourth proportional to 545,290.84, 817,809.09 and 208,207.72 is: 312,263.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,290.84 : 817,809.09 = 208,207.72 : x
  2. Step 2: Convert to fraction form
    545,290.84/817,809.09 = 208,207.72/x
  3. Step 3: Cross multiply
    545,290.84x = 817,809.09 × 208,207.72
  4. Step 4: Simplify right side
    545,290.84x = 170,274,166,024.18
  5. Step 5: Solve for x
    x = 170,274,166,024.18/545,290.84
  6. Step 6: Final answer
    x = 312,263.02

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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.