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Finding the Fourth Proportional to 545,250, 752,461.72 and 296,908.40

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Solution

The fourth proportional to 545,250, 752,461.72 and 296,908.40 is: 409,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,250 : 752,461.72 = 296,908.40 : x
  2. Step 2: Convert to fraction form
    545,250/752,461.72 = 296,908.40/x
  3. Step 3: Cross multiply
    545,250x = 752,461.72 × 296,908.40
  4. Step 4: Simplify right side
    545,250x = 223,412,205,346.45
  5. Step 5: Solve for x
    x = 223,412,205,346.45/545,250
  6. Step 6: Final answer
    x = 409,742.70

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1.5x scale

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.