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Finding the Fourth Proportional to 561,400.48, 774,742.80 and 306,762.40

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Solution

The fourth proportional to 561,400.48, 774,742.80 and 306,762.40 is: 423,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,400.48 : 774,742.80 = 306,762.40 : x
  2. Step 2: Convert to fraction form
    561,400.48/774,742.80 = 306,762.40/x
  3. Step 3: Cross multiply
    561,400.48x = 774,742.80 × 306,762.40
  4. Step 4: Simplify right side
    561,400.48x = 237,661,960,710.72
  5. Step 5: Solve for x
    x = 237,661,960,710.72/561,400.48
  6. Step 6: Final answer
    x = 423,337.65

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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.