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Finding the Fourth Proportional to 561,952.49, 775,494 and 307,303.61

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Solution

The fourth proportional to 561,952.49, 775,494 and 307,303.61 is: 424,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,952.49 : 775,494 = 307,303.61 : x
  2. Step 2: Convert to fraction form
    561,952.49/775,494 = 307,303.61/x
  3. Step 3: Cross multiply
    561,952.49x = 775,494 × 307,303.61
  4. Step 4: Simplify right side
    561,952.49x = 238,312,101,855.87
  5. Step 5: Solve for x
    x = 238,312,101,855.87/561,952.49
  6. Step 6: Final answer
    x = 424,078.74

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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.