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Finding the Fourth Proportional to 561,543.16, 774,929.64 and 306,894.28

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Solution

The fourth proportional to 561,543.16, 774,929.64 and 306,894.28 is: 423,514.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,543.16 : 774,929.64 = 306,894.28 : x
  2. Step 2: Convert to fraction form
    561,543.16/774,929.64 = 306,894.28/x
  3. Step 3: Cross multiply
    561,543.16x = 774,929.64 × 306,894.28
  4. Step 4: Simplify right side
    561,543.16x = 237,821,473,918.46
  5. Step 5: Solve for x
    x = 237,821,473,918.46/561,543.16
  6. Step 6: Final answer
    x = 423,514.15

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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.